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Riemannian Geometry and Geometric Analysis pdf epub mobi 圖書描述

The second edition featured a new chapter with a systematic development of variational problems from quantum field theory, in particular the Seiberg-Witten and Ginzburg-Landau functionals. This third edition gives a new presentation of Morse theory and Floer homology that emphasises the geometric aspects and integrates it into the context of Riemannian geometry and geometric analysis. It also gives a new presentation of the geometric aspects of harmonic maps: This uses geometric methods from the theory of geometric spaces of nonpositive curvature and, at the same time, sheds light on these, as an excellent example of the integration of deep geometric insights and powerful analytical tools. These new materials are based on a course at the University of Leipzig, entitled Geometry and Physics, attended by graduate students, postdocs and researchers from other areas of mathematics. Much of this material appears for the first time in a textbook.

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發表於2025-02-05

Riemannian Geometry and Geometric Analysis 2025 pdf epub mobi 電子書 下載

Riemannian Geometry and Geometric Analysis 2025 pdf epub mobi 電子書 下載

Riemannian Geometry and Geometric Analysis 2025 pdf epub mobi 電子書 下載

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