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Titlebook: Riemannian Geometry and Geometric Analysis; Jürgen Jost Textbook 19982nd edition Springer-Verlag Berlin Heidelberg 1998 Morse theory.Riema

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书目名称Riemannian Geometry and Geometric Analysis
编辑Jürgen Jost
视频video
概述Jost‘s book attempts a synthesis of geometric and analytic method on the way to Riemannian geometry and the author achieves this goal..The result is an excellent book.".Acta Scientiarum Mathematicarum
丛书名称Universitext
图书封面Titlebook: Riemannian Geometry and Geometric Analysis;  Jürgen Jost Textbook 19982nd edition Springer-Verlag Berlin Heidelberg 1998 Morse theory.Riema
描述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. It is a good introduction to Riemannian geometry. The book is made more interesting by the perspectives in various sections. where the author mentions the history and development of the material and provides the reader with references." Math. Reviews. The 2nd ed. includes new material on Ginzburg-Landau, Seibert-Witten functionals, spin geometry, Dirac operators.
出版日期Textbook 19982nd edition
关键词Morse theory; Riemannian geometry; Seiber-Witten functionals; curvature; harmonic maps; manifold; symmetri
版次2
doihttps://doi.org/10.1007/978-3-662-22385-7
isbn_ebook978-3-662-22385-7Series ISSN 0172-5939 Series E-ISSN 2191-6675
issn_series 0172-5939
copyrightSpringer-Verlag Berlin Heidelberg 1998
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Foundational Material,A . is a set . together with a family . of subsets of . satisfying the following properties:
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De Rham Cohomology and Harmonic Differential Forms,We need some preparations from linear algebra. Let . be a real vector space with a scalar product 〈·, ·〉, and let ... be the .-fold exterior product of ..
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Geodesics and Jacobi Fields,We start with a preliminary technical remark:
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,Symmetric Spaces and Kähler Manifolds,We consider the complex vector space ℂ... A complex linear subspace of ℂ.. of complex dimension one is called line. We define complex projective space ℂℙ. as the space of all lines in ℂ...
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