Developments of Harmonic Maps, Wave Maps and Yang-Mills Fields into Biharmonic Maps, Biwave Maps and Bi-Yang-Mills Fields / by Yuan-Jen Chiang
(Frontiers in Mathematics)
| データ種別 | 電子ブック |
|---|---|
| 出版者 | Basel : Springer Basel : Imprint: Birkhäuser |
| 出版年 | 2013 |
| 本文言語 | 英語 |
| 大きさ | XXI, 399 p. 9 illus., 1 illus. in color : online resource |
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| 内容注記 | Preface. 1 Harmonic Maps 2 Wave Maps.-3 Yang-Mills Fields 4 Biharmonic Maps 5 Biwave Maps 6 Bi-Yang-Mills Fields.-7 Exponential Harmonic Maps.-8 Exponential Wave Maps 9. Exponential Yang-Mills Connections Index. |
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| 一般注記 | Harmonic maps between Riemannian manifolds were first established 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 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 in 2009, and bi-Yang-Mills fields (generalizing Yang-Mills fields) first investigated in 2008. Other topics discussed are exponential harmonic maps, exponential wave maps and exponential Yang-Mills fields |
| 著者標目 | *Chiang, Yuan-Jen author SpringerLink (Online service) |
| 件 名 | LCSH:Mathematics LCSH:Global analysis (Mathematics) LCSH:Manifolds (Mathematics) LCSH:Partial differential equations LCSH:Functions of complex variables LCSH:Differential geometry LCSH:Calculus of variations FREE:Mathematics FREE:Global Analysis and Analysis on Manifolds FREE:Differential Geometry FREE:Partial Differential Equations FREE:Calculus of Variations and Optimal Control; Optimization FREE:Several Complex Variables and Analytic Spaces |
| 分 類 | DC23:514.74 |
| 巻冊次 | ISBN:9783034805346 
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| ISBN | 9783034805346 |
| URL | http://dx.doi.org/10.1007/978-3-0348-0534-6 |
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