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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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11#
發(fā)表于 2025-3-23 10:28:46 | 只看該作者
12#
發(fā)表于 2025-3-23 16:59:59 | 只看該作者
Jürgen JostJost‘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
13#
發(fā)表于 2025-3-23 18:53:21 | 只看該作者
Universitexthttp://image.papertrans.cn/r/image/830315.jpg
14#
發(fā)表于 2025-3-23 23:34:54 | 只看該作者
https://doi.org/10.1007/978-3-662-22385-7Morse theory; Riemannian geometry; Seiber-Witten functionals; curvature; harmonic maps; manifold; symmetri
15#
發(fā)表于 2025-3-24 05:57:01 | 只看該作者
Textbook 19982nd edition 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 i
16#
發(fā)表于 2025-3-24 09:29:40 | 只看該作者
17#
發(fā)表于 2025-3-24 11:20:57 | 只看該作者
Morse Theory and Closed Geodesics,yper-surfaces changes in critical points. hi those critical points where the Hessian of the function has maximal rank, it is easy to describe this change of topological type. This is the content of Morse theory. The more difficult general case is the content of Conley theory which, however, we shall not be able to treat in this book.
18#
發(fā)表于 2025-3-24 17:42:48 | 只看該作者
0172-5939 esult is an excellent book.".Acta Scientiarum MathematicarumFrom 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
19#
發(fā)表于 2025-3-24 20:37:18 | 只看該作者
Morse Theory and Closed Geodesics,e reconstructed from the level hypersurfaces of a continuous function. If the function is not only continuous, but also differentiable, all such hyper-surfaces that do not contain any critical points of the function are regular, i.e. embedded submanifolds, whereas the topological type of the level h
20#
發(fā)表于 2025-3-25 02:57:11 | 只看該作者
Erste Etappe – Was erwartet mich??In diesem Kapitel erhalten Sie eine kurze Anleitung zum Umgang mit diesem Buch sowie eine Kurzbeschreibung des Inhalts. Danach erfahren Sie, wie Standort- sowie Selbstanalyse und Lebenspraxis Ihre Wendepunkte pr?gen.
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