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Harmonic Vector Fields

Harmonic Vector Fields Book
Author : Sorin Dragomir,Domenico Perrone
Publisher : Elsevier
Release : 2012
ISBN : 0124158269
Language : En, Es, Fr & De

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Book Description :

An excellent reference for anyone needing to examine properties of harmonic vector fields to help them solve research problems. The book provides the main results of harmonic vector fields with an emphasis on Riemannian manifolds using past and existing problems to assist you in analyzing and furnishing your own conclusion for further research. It emphasizes a combination of theoretical development with practical applications for a solid treatment of the subject useful to those new to research using differential geometric methods in extensive detail. A useful tool for any scientist conducting research in the field of harmonic analysis Provides applications and modern techniques to problem solving A clear and concise exposition of differential geometry of harmonic vector fields on Reimannian manifolds Physical Applications of Geometric Methods

Harmonic Vector Fields on Pseudo Riemannian Manifolds

Harmonic Vector Fields on Pseudo Riemannian Manifolds Book
Author : Robert Michael Friswell
Publisher : Unknown
Release : 2014
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Harmonic Vector Fields on Pseudo Riemannian Manifolds book written by Robert Michael Friswell, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Harmonic Vector Fields

Harmonic Vector Fields Book
Author : Sorin Dragomir
Publisher : Unknown
Release : 2012
ISBN : 9781283288071
Language : En, Es, Fr & De

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Book Description :

An excellent reference for anyone needing to examine properties of harmonic vector fields to help them solve research problems. The book provides the main results of harmonic vector fields with an emphasis on Riemannian manifolds using past and existing problems to assist you in analyzing and furnishing your own conclusion for further research. It emphasizes a combination of theoretical development with practical applications for a solid treatment of the subject useful to those new to research using differential geometric methods in extensive detail. A useful tool for any scientist conducting research in the field of harmonic analysis Provides applications and modern techniques to problem solving A clear and concise exposition of differential geometry of harmonic vector fields on Reimannian manifolds Physical Applications of Geometric Methods

On Annihilators of Harmonic Vector Fields

On Annihilators of Harmonic Vector Fields Book
Author : Björn Gustafsson,Dmitry Khavinson
Publisher : Unknown
Release : 1993
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download On Annihilators of Harmonic Vector Fields book written by Björn Gustafsson,Dmitry Khavinson, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Harmonic Vector Fields

Harmonic Vector Fields Book
Author : Nathan A. Clayton
Publisher : CreateSpace
Release : 2015-08-17
ISBN : 9781516929467
Language : En, Es, Fr & De

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Book Description :

This updated and expanded second edition of the Harmonic Vector Fields: Variational Principles and Differential Geometry provides a user-friendly introduction to the subject, Taking a clear structural framework, it guides the reader through the subject's core elements. A flowing writing style combines with the use of illustrations and diagrams throughout the text to ensure the reader understands even the most complex of concepts. This succinct and enlightening overview is a required reading for all those interested in the subject . We hope you find this book useful in shaping your future career & Business. Feel free to send us your inquiries related to our publications to [email protected]

An Approximation Theorem for Integrable Harmonic Vector Fields

An Approximation Theorem for Integrable Harmonic Vector Fields Book
Author : Björn Gustafsson,Makoto Sakai
Publisher : Unknown
Release : 1991
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download An Approximation Theorem for Integrable Harmonic Vector Fields book written by Björn Gustafsson,Makoto Sakai, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Killing Vector Fields and Harmonic Forms

Killing Vector Fields and Harmonic Forms Book
Author : Edward Thomas Wright
Publisher : Unknown
Release : 1973
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Killing Vector Fields and Harmonic Forms book written by Edward Thomas Wright, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Vector Fields of Bryant Type for Foliations and Harmonic Morphisms

Vector Fields of Bryant Type for Foliations and Harmonic Morphisms Book
Author : Mo Xiaohuan
Publisher : Unknown
Release : 2001
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Vector Fields of Bryant Type for Foliations and Harmonic Morphisms book written by Mo Xiaohuan, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Harmonic Maps and Differential Geometry

Harmonic Maps and Differential Geometry Book
Author : John C. Wood
Publisher : American Mathematical Soc.
Release : 2011
ISBN : 0821849875
Language : En, Es, Fr & De

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Book Description :

This volume contains the proceedings of a conference held in Cagliari, Italy, from September 7-10, 2009, to celebrate John C. Wood's 60th birthday. These papers reflect the many facets of the theory of harmonic maps and its links and connections with other topics in Differential and Riemannian Geometry. Two long reports, one on constant mean curvature surfaces by F. Pedit and the other on the construction of harmonic maps by J. C. Wood, open the proceedings. These are followed by a mix of surveys on Prof. Wood's area of expertise: Lagrangian surfaces, biharmonic maps, locally conformally Kahler manifolds and the DDVV conjecture, as well as several research papers on harmonic maps. Other research papers in the volume are devoted to Willmore surfaces, Goldstein-Pedrich flows, contact pairs, prescribed Ricci curvature, conformal fibrations, the Fadeev-Hopf model, the Compact Support Principle and the curvature of surfaces.

Higher Power Harmonic Unit Vector Fields on 3 dimensional Lie Groups

Higher Power Harmonic Unit Vector Fields on 3 dimensional Lie Groups Book
Author : Anonim
Publisher : Unknown
Release : 2012
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Higher Power Harmonic Unit Vector Fields on 3 dimensional Lie Groups book written by , available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Handbook of Conformal Mapping with Computer Aided Visualization

Handbook of Conformal Mapping with Computer Aided Visualization Book
Author : Valentin I. Ivanov,Michael K. Trubetskov
Publisher : CRC Press
Release : 1994-12-16
ISBN : 9780849389368
Language : En, Es, Fr & De

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Book Description :

This book is a guide on conformal mappings, their applications in physics and technology, and their computer-aided visualization. Conformal mapping (CM) is a classical part of complex analysis having numerous applications to mathematical physics. This modern handbook on CM includes recent results such as the classification of all triangles and quadrangles that can be mapped by elementary functions, mappings realized by elliptic integrals and Jacobian elliptic functions, and mappings of doubly connected domains. This handbook considers a wide array of applications, among which are the construction of a Green function for various boundary-value problems, streaming around airfoils, the impact of a cylinder on the surface of a liquid, and filtration under a dam. With more than 160 domains included in the catalog of mapping, Handbook of Conformal Mapping with Computer-Aided Visualization is more complete and useful than any previous volume covering this important topic. The authors have developed an interactive ready-to-use software program for constructing conformal mappings and visualizing plane harmonic vector fields. The book includes a floppy disk for IBM-compatible computers that contains the CONFORM program.

Harmonic Morphisms Harmonic Maps and Related Topics

Harmonic Morphisms  Harmonic Maps and Related Topics Book
Author : Christopher Kum Anand,Paul Baird,John Colin Wood,Eric Loubeau
Publisher : CRC Press
Release : 1999-10-13
ISBN : 9781584880325
Language : En, Es, Fr & De

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Book Description :

The subject of harmonic morphisms is relatively new but has attracted a huge worldwide following. Mathematicians, young researchers and distinguished experts came from all corners of the globe to the City of Brest - site of the first, international conference devoted to the fledgling but dynamic field of harmonic morphisms. Harmonic Morphisms, Harmonic Maps, and Related Topics reports the proceedings of that conference, forms the first work primarily devoted to harmonic morphisms, bringing together contributions from the founders of the subject, leading specialists, and experts in other related fields. Starting with "The Beginnings of Harmonic Morphisms," which provides the essential background, the first section includes papers on the stability of harmonic morphisms, global properties, harmonic polynomial morphisms, Bochner technique, f-structures, symplectic harmonic morphisms, and discrete harmonic morphisms. The second section addresses the wider domain of harmonic maps and contains some of the most recent results on harmonic maps and surfaces. The final section highlights the rapidly developing subject of constant mean curvature surfaces. Harmonic Morphisms, Harmonic Maps, and Related Topics offers a coherent, balanced account of this fast-growing subject that furnishes a vital reference for anyone working in the field.

Generalized Heisenberg Groups and Damek Ricci Harmonic Spaces

Generalized Heisenberg Groups and Damek Ricci Harmonic Spaces Book
Author : Jürgen Berndt,Franco Tricerri,Lieven Vanhecke
Publisher : Springer
Release : 2006-11-14
ISBN : 3540491716
Language : En, Es, Fr & De

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Book Description :

Generalized Heisenberg groups, or H-type groups, introduced by A. Kaplan, and Damek-Ricci harmonic spaces are particularly nice Lie groups with a vast spectrum of properties and applications. These harmonic spaces are homogeneous Hadamard manifolds containing the H-type groups as horospheres. These notes contain a thorough study of their Riemannian geometry by means of a detailed treatment of their Jacobi vector fields and Jacobi operators. Some problems are included and will hopefully stimulate further research on these spaces. The book is written for students and researchers, assuming only basic knowledge of Riemannian geometry, and it contains a brief survey of the background material needed to follow the entire treatment.

Harmonic Morphisms Between Riemannian Manifolds

Harmonic Morphisms Between Riemannian Manifolds Book
Author : Paul Baird,Professor of Mathematics Paul Baird,John C. Wood,John C.. Wood,Professor of Pure Mathematics John C Wood
Publisher : Oxford University Press
Release : 2003
ISBN : 9780198503620
Language : En, Es, Fr & De

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Book Description :

This is the first account in book form of the theory of harmonic morphisms between Riemannian manifolds. Harmonic morphisms are maps which preserve Laplace's equation. They can be characterized as harmonic maps which satisfy an additional first order condition. Examples include harmonic functions, conformal mappings in the plane, and holomorphic functions with values in a Riemann surface. There are connections with many concepts in differential geometry, for example, Killing fields, geodesics, foliations, Clifford systems, twistor spaces, Hermitian structures, iso-parametric mappings, and Einstein metrics and also the Brownain pathpreserving maps of probability theory. Giving a complete account of the fundamental aspects of the subject, this book is self-contained, assuming only a basic knowledge of differential geometry.

The Theory of the Moir Phenomenon

The Theory of the Moir   Phenomenon Book
Author : Isaac Amidror
Publisher : Springer Science & Business Media
Release : 2007-03-16
ISBN : 1402054580
Language : En, Es, Fr & De

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Book Description :

This book presents for the first time the theory of the moiré phenomenon between aperiodic or random layers. The book provides a full general purpose and application-independent exposition of the subject. Throughout the whole text the book favours a pictorial, intuitive approach which is supported by mathematics, and the discussion is accompanied by a large number of figures and illustrative examples.

The Divergence Theorem for Discontinuous Vector Fields

The Divergence Theorem for Discontinuous Vector Fields Book
Author : Victor Lenard Shapiro
Publisher : Unknown
Release : 1957
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download The Divergence Theorem for Discontinuous Vector Fields book written by Victor Lenard Shapiro, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Differential Geometry

Differential Geometry Book
Author : Jes£s A. Alvarez L¢pez,Eduardo Garc¡a-R¡o
Publisher : World Scientific
Release : 2009
ISBN : 9814261165
Language : En, Es, Fr & De

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Book Description :

This volume contains research and expository papers on recent advances in foliations and Riemannian geometry. Some of the topics covered in this volume include: topology, geometry, dynamics and analysis of foliations, curvature, submanifold theory, Lie groups and harmonic maps.Among the contributions, readers may find an extensive survey on characteristic classes of Riemannian foliations offering also new results, an article showing the uniform simplicity of certain diffeomorphism groups, an exposition of convergences of contact structures to foliations from the point of view of Thurston's and Thurston?Bennequin's inequalities, a discussion about Fatou?Julia decompositions for foliations and a description of singular Riemannian foliations on spaces without conjugate points.Papers on submanifold theory focus on the existence of graphs with prescribed mean curvature and mean curvature flow for spacelike graphs, isometric and conformal deformations and detailed surveys on totally geodesic submanifolds in symmetric spaces, cohomogeneity one actions on hyperbolic spaces and rigidity of geodesic spheres in space forms. Geometric realizability of curvature tensors and curvature operators are also treated in this volume with special attention to the affine and the pseudo-Riemannian settings. Also, some contributions on biharmonic maps and submanifolds enrich the scope of this volume in providing an overview of different topics of current interest in differential geometry.

Complex Structures And Vector Fields

Complex Structures And Vector Fields Book
Author : Sekigawa Kouei,Dimiev Stancho
Publisher : World Scientific
Release : 1995-06-28
ISBN : 9814548952
Language : En, Es, Fr & De

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Book Description :

The coastal zone has always been an important frontier - for trade, food and the foundations of modern civilization. This same zone has also been exploited in one way or another, and sometimes without regard to the balance and schemes of Mother Nature. It is only when things go terribly wrong that we begin to react and attempt to undo the mistakes of the past. At times we have succeeded, but at a high price. At times, we have to retreat and concede defeat as the technology of man is no match to the force of nature. Over time, we learn to work with nature and leverage the science of nature to protect the coastal zone and hold our frontier between the sea and land.This proceeding presents the recent advances in all aspects of ocean and coastal research and management in the Asian and Pacific nations. The volume set provides a valuable source of information for scientists, engineers and professionals dealing with coastal zone issues and challenges in coastal, port and ocean engineering development, as well as the environmental impacts resulting from development of ocean and coastal areas.

Developments of Harmonic Maps Wave Maps and Yang Mills Fields into Biharmonic Maps Biwave Maps and Bi Yang Mills Fields

Developments of Harmonic Maps  Wave Maps and Yang Mills Fields into Biharmonic Maps  Biwave Maps and Bi Yang Mills Fields Book
Author : Yuan-Jen Chiang
Publisher : Springer Science & Business Media
Release : 2013-06-18
ISBN : 3034805349
Language : En, Es, Fr & De

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Book Description :

Harmonic maps between Riemannian manifolds were first established by James Eells and Joseph H. Sampson in 1964. Wave maps are harmonic maps on Minkowski spaces and have been studied since the 1990s. Yang-Mills fields, the critical points of Yang-Mills functionals of connections whose curvature tensors are harmonic, were explored by a few physicists in the 1950s, and biharmonic maps (generalizing harmonic maps) were introduced by Guoying Jiang in 1986. The book presents an overview of the important developments made in these fields since they first came up. Furthermore, it introduces biwave maps (generalizing wave maps) which were first studied by the author in 2009, and bi-Yang-Mills fields (generalizing Yang-Mills fields) first investigated by Toshiyuki Ichiyama, Jun-Ichi Inoguchi and Hajime Urakawa in 2008. Other topics discussed are exponential harmonic maps, exponential wave maps and exponential Yang-Mills fields.

Potential Theory ICPT 94

Potential Theory   ICPT 94 Book
Author : Josef Kral,Jaroslav Lukes,Ivan Netuka,Jiri Vesely
Publisher : Walter de Gruyter
Release : 1996-01-01
ISBN : 3110818574
Language : En, Es, Fr & De

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Book Description :

The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.