Harmonic Maps and Minimal Immersions Through Representation Theory PDF Download

Author: Gábor Tóth (Ph. D.)
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 176

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Author: James Eells
Publisher: Princeton University Press
ISBN: 1400882508
Category : Mathematics
Languages : en
Pages : 240

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Book Description
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: James Eells
Publisher: Princeton University Press
ISBN: 9780691102498
Category : Mathematics
Languages : en
Pages : 238

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Book Description
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 Baird
Publisher: Oxford University Press
ISBN: 9780198503620
Category : Mathematics
Languages : en
Pages : 540

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Book Description
This is an account in book form of the theory of harmonic morphisms between Riemannian manifolds.

Author: Hajime Urakawa
Publisher: American Mathematical Soc.
ISBN: 0821894137
Category : Mathematics
Languages : en
Pages : 272

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Book Description
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: Gabor Toth
Publisher: Springer Science & Business Media
ISBN: 1461300614
Category : Mathematics
Languages : en
Pages : 332

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Book Description
"Spherical soap bubbles", isometric minimal immersions of round spheres into round spheres, or spherical immersions for short, belong to a fast growing and fascinating area between algebra and geometry. In this accessible book, the author traces the development of the study of spherical minimal immersions over the past 30 plus years, including a valuable selection of exercises.

Author:
Publisher: Elsevier
ISBN: 0080526950
Category : Mathematics
Languages : en
Pages : 343

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Book Description
This book is a compilation of several works from well-recognized figures in the field of Representation Theory. The presentation of the topic is unique in offering several different points of view, which should makethe book very useful to students and experts alike. Presents several different points of view on key topics in representation theory, from internationally known experts in the field

Author: Enrico Giusti
Publisher: Springer
ISBN: 3540397167
Category : Mathematics
Languages : en
Pages : 295

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Book Description

Author: Valentino Cristante
Publisher: Academic Press
ISBN: 1483217620
Category : Mathematics
Languages : en
Pages : 306

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Book Description
Barsotti Symposium in Algebraic Geometry contains papers corresponding to the lectures given at the 1991 memorial meeting held in Abano Terme in honor of Iacopo Barsotti. This text reflects Barsotti’s significant contributions in the field. This book is composed of 10 chapters and begins with a review of the centers of three-dimensional skylanin algebras. The succeeding chapters deal with the theoretical aspects of the Abelian varieties, Witt realization of p-Adic Barsotti-Tate Groups, and hypergeometric series and functions. These topics are followed by discussions of logarithmic spaces and the estimates for and inequalities among A-numbers. The closing chapter describes the moduli of Abelian varieties in positive characteristic. This book will be of value to mathematicians.

Author: Centro internazionale matematico estivo
Publisher: C.I.M.E. Foundation Subseries
ISBN:
Category : Mathematics
Languages : en
Pages : 304

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