Developments Of Harmonic Maps Wave Maps And Yang Mills Fields Into Biharmonic Maps Biwave Maps And Bi Yang Mills Fields

Author : Yuan-Jen Chiang
Publisher : Springer Science & Business Media
ISBN 13 : 3034805349
Total Pages : 418 pages
Book Rating : 4.46/5 ( download)

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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 and published by Springer Science & Business Media. This book was released on 2013-06-18 with total page 418 pages. 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.

Author : Yuan Chiang
Publisher : Birkhäuser
ISBN 13 : 9783034805353
Total Pages : 399 pages
Book Rating : 4.57/5 ( download)

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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 Chiang and published by Birkhäuser. This book was released on 2013-11-27 with total page 399 pages. 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.

Author : Fanghua Lin
Publisher : World Scientific
ISBN 13 : 9814472247
Total Pages : 280 pages
Book Rating : 4.41/5 ( download)

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Download or read book The Analysis Of Harmonic Maps And Their Heat Flows written by Fanghua Lin and published by World Scientific. This book was released on 2008-05-23 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a broad yet comprehensive introduction to the analysis of harmonic maps and their heat flows. The first part of the book contains many important theorems on the regularity of minimizing harmonic maps by Schoen-Uhlenbeck, stationary harmonic maps between Riemannian manifolds in higher dimensions by Evans and Bethuel, and weakly harmonic maps from Riemannian surfaces by Helein, as well as on the structure of a singular set of minimizing harmonic maps and stationary harmonic maps by Simon and Lin. The second part of the book contains a systematic coverage of heat flow of harmonic maps that includes Eells-Sampson's theorem on global smooth solutions, Struwe's almost regular solutions in dimension two, Sacks-Uhlenbeck's blow-up analysis in dimension two, Chen-Struwe's existence theorem on partially smooth solutions, and blow-up analysis in higher dimensions by Lin and Wang.The book can be used as a textbook for the topic course of advanced graduate students and for researchers who are interested in geometric partial differential equations and geometric analysis.

Author : Fedor A. Chechkin
Publisher :
ISBN 13 :
Total Pages : 186 pages
Book Rating : 4.50/5 ( download)

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Download or read book Convergence of Wave Maps written by Fedor A. Chechkin and published by . This book was released on 2000 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : James Eells
Publisher : World Scientific
ISBN 13 : 9814506125
Total Pages : 453 pages
Book Rating : 4.20/5 ( download)

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Download or read book Harmonic Maps: Selected Papers By James Eells And Collaborators written by James Eells and published by World Scientific. This book was released on 1992-08-21 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : James Eells
Publisher : World Scientific
ISBN 13 : 9789810207045
Total Pages : 472 pages
Book Rating : 4.42/5 ( download)

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Download or read book Harmonic Maps written by James Eells and published by World Scientific. This book was released on 1992 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : U. R. J. Knill
Publisher :
ISBN 13 : 9783662196724
Total Pages : 172 pages
Book Rating : 4.27/5 ( download)

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Download or read book Harmonic Maps written by U. R. J. Knill and published by . This book was released on 2014-01-15 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Pei-Kun Chang
Publisher :
ISBN 13 :
Total Pages : 122 pages
Book Rating : 4.92/5 ( download)

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Download or read book Some Estimates of Harmonic Maps with Bounded Energy written by Pei-Kun Chang and published by . This book was released on 1989 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Richard Schoen
Publisher :
ISBN 13 : 9781571462602
Total Pages : 394 pages
Book Rating : 4.00/5 ( download)

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Download or read book Lectures on Harmonic Maps written by Richard Schoen and published by . This book was released on 2013-04-30 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Ronald J. Knill
Publisher : Lecture Notes in Mathematics
ISBN 13 :
Total Pages : 176 pages
Book Rating : 4.36/5 ( download)

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Download or read book Harmonic Maps written by Ronald J. Knill and published by Lecture Notes in Mathematics. This book was released on 1982-09 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: