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Riemannian Geometry and Geometric Analysis / by Jürgen Jost
(Universitext. ISSN:21916675)
版 | 5th ed. 2008. |
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出版者 | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
出版年 | 2008 |
本文言語 | 英語 |
大きさ | XIV, 590 p. 14 illus., 4 illus. in color : online resource |
著者標目 | *Jost, Jürgen author SpringerLink (Online service) |
件 名 | LCSH:Geometry, Differential LCSH:Mathematical physics LCSH:Mathematical analysis FREE:Differential Geometry FREE:Theoretical, Mathematical and Computational Physics FREE:Analysis |
一般注記 | Foundational Material -- De Rham Cohomology and Harmonic Differential Forms -- Parallel Transport, Connections, and Covariant Derivatives -- Geodesics and Jacobi Fields -- Symmetric Spaces and Kähler Manifolds -- Morse Theory and Floer Homology -- Harmonic Maps between Riemannian Manifolds -- Harmonic maps from Riemann surfaces -- Variational Problems from Quantum Field Theory This established reference work continues to lead its readers to some of the hottest topics of contemporary mathematical research.This new edition introduces and explains the ideas of the parabolic methods that have recently found such a spectacular success in the work of Perelman at the examples of closed geodesics and harmonic forms. It also discusses further examples of geometric variational problems from quantum field theory, another source of profound new ideas and methods in geometry. From the reviews: "This book provides a very readable introduction to Riemannian geometry and geometric analysis. The author focuses on using analytic methods in the study of some fundamental theorems in Riemannian geometry, e.g., the Hodge theorem, the Rauch comparison theorem, the Lyusternik and Fet theorem and the existence of harmonic mappings. With the vast development of the mathematical subject of geometric analysis, the present textbook is most welcome. [..] The book is made more interesting by the perspectives in various sections." Mathematical Reviews HTTP:URL=https://doi.org/10.1007/978-3-540-77341-2 |
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電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9783540773412 |
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EB00232964 |
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