CLOT 发表于 2025-3-23 10:41:18
Leigh N. Wood,Yvonne A. Breyer Jacobi fields and apply these results to geodesics. These first four chapters treat the more elementary and basic aspects of the subject. Their results will be used in the remaining, more advanced chapters that are essentially independent of each other. In the fifth chapter, we develop Morse theoryDetonate 发表于 2025-3-23 15:12:22
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Yvonne A. Breyer,Mauricio Marrone,Leigh N. Wood,Murray Taylor,Hajira Shaheenld .. with scalar curvature equal to 2.(2. + 1) or 2.(2. + 3) is a non-Einstein critical metric of ., Yamaguchi and Chūman . In the case of . Yamaguchi and Chūman showed that a Sasakian critical point is Einstein. Similarly metrics of constant curvature and Kähler metrics of constant holomorph祖传 发表于 2025-3-24 00:16:19
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Priscilla E. L. Murphyk. A basic course in Riemannian geometry is a prerequisite...Reviews from the First Edition:.."The book . . . can be used either as an introduction to the subject or as a reference for students and researchers . . . gives a clear and complete account of the main ideas . . . and studies a vast a蒙太奇 发表于 2025-3-24 13:59:37
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C. J. Sangwintitative interpretation. From then on, all efforts are bent toward proving the four most fundamental theorems relating curvature and topology: the Gauss–Bonnet theorem (expressing the total curvature of a surface in term so fits topological type), the Cartan–Hadamard theorem (restricting the topologNarrative 发表于 2025-3-24 19:47:15
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Mauricio Marrone,Lilia Draganovogeneous Riemannian manifolds, and compact homogeneous Riemannian spaces...The intended audience is graduate students and researchers whose work involves differential geometry and transformation groups..978-3-030-56660-9978-3-030-56658-6Series ISSN 1439-7382 Series E-ISSN 2196-9922