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Harmonic Maps and Minimal Immersions with Symmetries (AM-130), Volume 130

2016-03-02 Mathematics
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Release : 2016-03-02
Genre : Mathematics
Kind : eBook
Book Rating : 508/5 ( reviews)

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Book Synopsis Harmonic Maps and Minimal Immersions with Symmetries (AM-130), Volume 130 by : James Eells

Download or read book Harmonic Maps and Minimal Immersions with Symmetries (AM-130), Volume 130 written by James Eells. This book was released on 2016-03-02. 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.

Developments of Harmonic Maps, Wave Maps and Yang-Mills Fields into Biharmonic Maps, Biwave Maps and Bi-Yang-Mills Fields

2013-06-18 Mathematics
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Release : 2013-06-18
Genre : Mathematics
Kind : eBook
Book Rating : 349/5 ( reviews)

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Book Synopsis Developments of Harmonic Maps, Wave Maps and Yang-Mills Fields into Biharmonic Maps, Biwave Maps and Bi-Yang-Mills Fields by : Yuan-Jen Chiang

Download or read book Developments of Harmonic Maps, Wave Maps and Yang-Mills Fields into Biharmonic Maps, Biwave Maps and Bi-Yang-Mills Fields written by Yuan-Jen Chiang. This book was released on 2013-06-18. Available in PDF, EPUB and Kindle. Book excerpt: 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.

2000
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Release : 2000
Genre :
Kind : eBook
Book Rating : 143/5 ( reviews)

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Book Synopsis Surveys on surgery theory : papers dedicated to C.T.C. Wall. by : Sylvain Cappell

Download or read book Surveys on surgery theory : papers dedicated to C.T.C. Wall. written by Sylvain Cappell. This book was released on 2000. Available in PDF, EPUB and Kindle. Book excerpt:

Riemannian Submersions and Related Topics

2004 Mathematics
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Release : 2004
Genre : Mathematics
Kind : eBook
Book Rating : 338/5 ( reviews)

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Book Synopsis Riemannian Submersions and Related Topics by : Maria Falcitelli

Download or read book Riemannian Submersions and Related Topics written by Maria Falcitelli. This book was released on 2004. Available in PDF, EPUB and Kindle. Book excerpt: 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

2004-06-21 Mathematics
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Release : 2004-06-21
Genre : Mathematics
Kind : eBook
Book Rating : 455/5 ( reviews)

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Book Synopsis Riemannian Submersions And Related Topics by : Anna Maria Pastore

Download or read book Riemannian Submersions And Related Topics written by Anna Maria Pastore. This book was released on 2004-06-21. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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