IRK
发表于 2025-3-23 10:28:46
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PATRI
发表于 2025-3-23 16:59:59
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
outskirts
发表于 2025-3-23 18:53:21
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HIKE
发表于 2025-3-23 23:34:54
https://doi.org/10.1007/978-3-662-22385-7Morse theory; Riemannian geometry; Seiber-Witten functionals; curvature; harmonic maps; manifold; symmetri
使纠缠
发表于 2025-3-24 05:57:01
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
Pastry
发表于 2025-3-24 09:29:40
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细丝
发表于 2025-3-24 11:20:57
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.
GROSS
发表于 2025-3-24 17:42:48
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
MOAN
发表于 2025-3-24 20:37:18
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
landfill
发表于 2025-3-25 02:57:11
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 prägen.