Harmonic Maps With Symmetry Harmonic Morphisms And Deformations Of Metrics

Author : Paul Baird
Publisher : Pitman Advanced Publishing Program
ISBN 13 :
Total Pages : 204 pages
Book Rating : 4.77/5 ( download)

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Download or read book Harmonic Maps with Symmetry, Harmonic Morphisms, and Deformations of Metrics written by Paul Baird and published by Pitman Advanced Publishing Program. This book was released on 1983 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The aim of this book is to construct harmonic maps between Riemannian manifolds, and in particular between spheres. These maps have a delightful geometry associated with them - they preserve families of level hypersurfaces of constant mean curvature. New maps between Euclidean spheres are constructed, as well as harmonic maps from hyperbolic space to sphere and from Euclidean space to sphere. The author makes considerable use of the stress-energy tensor, which has not previously been used in the context of harmonic maps...In particular, it is used to solve the rendering problem for certain classes of maps between spheres." - back cover

Author : P. Baird
Publisher : John Wiley & Sons
ISBN 13 : 9780470204078
Total Pages : 203 pages
Book Rating : 4.79/5 ( download)

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Download or read book Harmonic Maps with Symmetry, Harmonic Morphisms and Deformations of Metrics written by P. Baird and published by John Wiley & Sons. This book was released on 1986-05 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Christopher Kum Anand
Publisher : CRC Press
ISBN 13 : 9781584880325
Total Pages : 332 pages
Book Rating : 4.25/5 ( download)

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Download or read book Harmonic Morphisms, Harmonic Maps and Related Topics written by Christopher Kum Anand and published by CRC Press. This book was released on 1999-10-13 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Eric Loubeau
Publisher : American Mathematical Soc.
ISBN 13 : 0821849875
Total Pages : 296 pages
Book Rating : 4.73/5 ( download)

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Download or read book Harmonic Maps and Differential Geometry written by Eric Loubeau and published by American Mathematical Soc.. This book was released on 2011 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Hajime Urakawa
Publisher : American Mathematical Soc.
ISBN 13 : 0821894137
Total Pages : 272 pages
Book Rating : 4.32/5 ( download)

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Download or read book Calculus of Variations and Harmonic Maps written by Hajime Urakawa and published by American Mathematical Soc.. This book was released on 2013-02-15 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a wide view of the calculus of variations as it plays an essential role in various areas of mathematics and science. Containing many examples, open problems, and exercises with complete solutions, the book would be suitable as a text for graduate courses in differential geometry, partial differential equations, and variational methods. The first part of the book is devoted to explaining the notion of (infinite-dimensional) manifolds and contains many examples. An introduction to Morse theory of Banach manifolds is provided, along with a proof of the existence of minimizing functions under the Palais-Smale condition. The second part, which may be read independently of the first, presents the theory of harmonic maps, with a careful calculation of the first and second variations of the energy. Several applications of the second variation and classification theories of harmonic maps are given.

Author : James Eells
Publisher : World Scientific
ISBN 13 : 9789810207045
Total Pages : 472 pages
Book Rating : 4.42/5 ( download)

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Download or read book Harmonic Maps written by James Eells and published by World Scientific. This book was released on 1992 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: These original research papers, written during a period of over a quarter of a century, have two main objectives. The first is to lay the foundations of the theory of harmonic maps between Riemannian Manifolds, and the second to establish various existence and regularity theorems as well as the explicit constructions of such maps.

Author : James Eells
Publisher : World Scientific
ISBN 13 : 9814506125
Total Pages : 453 pages
Book Rating : 4.20/5 ( download)

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Download or read book Harmonic Maps: Selected Papers By James Eells And Collaborators written by James Eells and published by World Scientific. This book was released on 1992-08-21 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: These original research papers, written during a period of over a quarter of a century, have two main objectives. The first is to lay the foundations of the theory of harmonic maps between Riemannian Manifolds, and the second to establish various existence and regularity theorems as well as the explicit constructions of such maps.

Author : James Eells
Publisher : American Mathematical Soc.
ISBN 13 : 0821807005
Total Pages : 93 pages
Book Rating : 4.02/5 ( download)

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Download or read book Selected Topics in Harmonic Maps written by James Eells and published by American Mathematical Soc.. This book was released on 1983 with total page 93 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gives an account of the various aspects of the theory of harmonic maps between Riemannian manifolds. This book presents an exposition of the qualitative aspects of harmonic maps. It also proposes certain unsolved problems, together with comments and references, which are of widely varying difficulty.

Author : James Eells
Publisher : Princeton University Press
ISBN 13 : 1400882508
Total Pages : 240 pages
Book Rating : 4.02/5 ( download)

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Download or read book Harmonic Maps and Minimal Immersions with Symmetries (AM-130), Volume 130 written by James Eells and published by Princeton University Press. This book was released on 2016-03-02 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to study harmonic maps, minimal and parallel mean curvature immersions in the presence of symmetry. In several instances, the latter permits reduction of the original elliptic variational problem to the qualitative study of certain ordinary differential equations: the authors' primary objective is to provide representative examples to illustrate these reduction methods and their associated analysis with geometric and topological applications. The material covered by the book displays a solid interplay involving geometry, analysis and topology: in particular, it includes a basic presentation of 1-cohomogeneous equivariant differential geometry and of the theory of harmonic maps between spheres.

Author : Paul Gauduchon
Publisher : World Scientific
ISBN 13 : 9813201487
Total Pages : 390 pages
Book Rating : 4.84/5 ( download)

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Download or read book Harmonic Mappings, Twistors And Sigma Models written by Paul Gauduchon and published by World Scientific. This book was released on 1988-10-01 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: Harmonic mappings have played in recent years and will likely to play in the future an important role in Differential Geometry and Theoretical Physics, where they are known as s-models. These Proceedings develop both aspects of the theory, with a special attention to the constructive methods, in particular the so-called twistorial approach. It includes expository articles on the twistorial methods, the various appearence of σ-models in Physics, the powerful analytic theory of regularity of SCHOEN-UHLENBECK.