Harmonic Maps and Minimal Immersions Through Representation Theory
Title | Harmonic Maps and Minimal Immersions Through Representation Theory PDF eBook |
Author | Gábor Tóth (Ph. D.) |
Publisher | |
Pages | 176 |
Release | 1990 |
Genre | Mathematics |
ISBN |
Harmonic Maps and Minimal Immersions with Symmetries (AM-130), Volume 130
Title | Harmonic Maps and Minimal Immersions with Symmetries (AM-130), Volume 130 PDF eBook |
Author | James Eells |
Publisher | Princeton University Press |
Pages | 240 |
Release | 2016-03-02 |
Genre | Mathematics |
ISBN | 1400882508 |
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.
Harmonic Maps and Minimal Immersions with Symmetries
Title | Harmonic Maps and Minimal Immersions with Symmetries PDF eBook |
Author | James Eells |
Publisher | Princeton University Press |
Pages | 238 |
Release | 1993 |
Genre | Mathematics |
ISBN | 9780691102498 |
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.
Harmonic Mappings and Minimal Immersion
Title | Harmonic Mappings and Minimal Immersion PDF eBook |
Author | Enrico Giusti |
Publisher | Springer |
Pages | 295 |
Release | 2006-11-14 |
Genre | Mathematics |
ISBN | 3540397167 |
Harmonic Maps
Title | Harmonic Maps PDF eBook |
Author | James Eells |
Publisher | World Scientific |
Pages | 472 |
Release | 1992 |
Genre | Mathematics |
ISBN | 9789810207045 |
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.
Harmonic Mappings and Minimal Immersion
Title | Harmonic Mappings and Minimal Immersion PDF eBook |
Author | Centro internazionale matematico estivo |
Publisher | C.I.M.E. Foundation Subseries |
Pages | 304 |
Release | 1985-11 |
Genre | Mathematics |
ISBN |
Finite Möbius Groups, Minimal Immersions of Spheres, and Moduli
Title | Finite Möbius Groups, Minimal Immersions of Spheres, and Moduli PDF eBook |
Author | Gabor Toth |
Publisher | Springer Science & Business Media |
Pages | 332 |
Release | 2012-12-06 |
Genre | Mathematics |
ISBN | 1461300614 |
"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.