Papers on Harmonic Maps (1964-1986)
Title | Papers on Harmonic Maps (1964-1986) PDF eBook |
Author | James Eells |
Publisher | |
Pages | |
Release | 1986 |
Genre | Harmonic maps |
ISBN |
Harmonic Maps: Selected Papers By James Eells And Collaborators
Title | Harmonic Maps: Selected Papers By James Eells And Collaborators PDF eBook |
Author | James Eells |
Publisher | World Scientific |
Pages | 453 |
Release | 1992-08-21 |
Genre | Mathematics |
ISBN | 9814506125 |
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 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.
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.
Bibliography for Harmonic Maps 1986
Title | Bibliography for Harmonic Maps 1986 PDF eBook |
Author | |
Publisher | |
Pages | 120 |
Release | 1986 |
Genre | Harmonic maps |
ISBN |
Selected Topics in Harmonic Maps
Title | Selected Topics in Harmonic Maps PDF eBook |
Author | James Eells |
Publisher | American Mathematical Soc. |
Pages | 93 |
Release | 1983 |
Genre | Mathematics |
ISBN | 0821807005 |
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.
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 Chiang |
Publisher | Birkhäuser |
Pages | 399 |
Release | 2013-11-27 |
Genre | Mathematics |
ISBN | 9783034805353 |
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.