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.
Developments of Harmonic Maps, Wave Maps and Yang-Mills Fields into Biharmonic Maps, Biwave Maps and Bi-Yang-Mills Fields
Title | Developments of Harmonic Maps, Wave Maps and Yang-Mills Fields into Biharmonic Maps, Biwave Maps and Bi-Yang-Mills Fields PDF eBook |
Author | Yuan-Jen Chiang |
Publisher | Springer Science & Business Media |
Pages | 418 |
Release | 2013-06-18 |
Genre | Mathematics |
ISBN | 3034805349 |
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.
Surveys on surgery theory : papers dedicated to C.T.C. Wall.
Title | Surveys on surgery theory : papers dedicated to C.T.C. Wall. PDF eBook |
Author | Sylvain Cappell |
Publisher | Princeton University Press |
Pages | 452 |
Release | 2000 |
Genre | |
ISBN | 9780691088143 |
Riemannian Submersions and Related Topics
Title | Riemannian Submersions and Related Topics PDF eBook |
Author | Maria Falcitelli |
Publisher | World Scientific |
Pages | 292 |
Release | 2004 |
Genre | Mathematics |
ISBN | 9812562338 |
This book provides the first-ever systematic introduction to thetheory of Riemannian submersions, which was initiated by BarrettO''Neill and Alfred Gray less than four decades ago. The authorsfocus their attention on classification theorems when the total spaceand the fibres have nice geometric properties.
Riemannian Submersions And Related Topics
Title | Riemannian Submersions And Related Topics PDF eBook |
Author | Anna Maria Pastore |
Publisher | World Scientific |
Pages | 292 |
Release | 2004-06-21 |
Genre | Mathematics |
ISBN | 9814482455 |
This book provides the first-ever systematic introduction to the theory of Riemannian submersions, which was initiated by Barrett O'Neill and Alfred Gray less than four decades ago. The authors focus their attention on classification theorems when the total space and the fibres have nice geometric properties. Particular emphasis is placed on the interrelation with almost Hermitian, almost contact and quaternionic geometry. Examples clarifying and motivating the theory are included in every chapter. Recent results on semi-Riemannian submersions are also explained. Finally, the authors point out the close connection of the subject with some areas of physics.
Proceedings
Title | Proceedings PDF eBook |
Author | |
Publisher | |
Pages | 468 |
Release | 1997 |
Genre | Engineering |
ISBN |
Mathematical Reviews
Title | Mathematical Reviews PDF eBook |
Author | |
Publisher | |
Pages | 730 |
Release | 1997 |
Genre | Mathematics |
ISBN |