impaction 发表于 2025-3-23 10:27:17

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Mitigate 发表于 2025-3-23 13:56:01

Curvature,e . is a vector field such that . = .. We already met in 2.64 the second covariant derivative of a function, which is a symmetric 2-tensor. This property is no more true for the second derivative of a tensor. However, . only depends on ..

针叶 发表于 2025-3-23 21:07:21

Analysis on Manifolds and the Ricci Curvature,ignore mathematical beings which locally behave like domains on ., just as manifolds locally behave like .. On the other hand, when doing Analysis on manifolds, it may useful to cut them into small pieces (cf. for example 4.65 and 4.68 below). These pieces are no more manifolds, but they will be manifolds with boundary.

Hyperopia 发表于 2025-3-23 22:40:49

0172-5939 m of (sn, can) F. THE MINIMAX PRINCIPLE 177 The basic statements VIII G. THE RICCI CURVATURE AND EIGENVALUES ESTIMATES Introduction 181 Bishop‘s inequality and 978-3-642-97026-9Series ISSN 0172-5939 Series E-ISSN 2191-6675

Decrepit 发表于 2025-3-24 03:56:08

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精致 发表于 2025-3-24 08:30:16

Sylvestre Gallot,Dominique Hulin,Jacques Lafontaine

泰然自若 发表于 2025-3-24 12:55:28

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locus-ceruleus 发表于 2025-3-24 16:08:15

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可以任性 发表于 2025-3-24 21:20:33

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十字架 发表于 2025-3-25 00:52:20

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查看完整版本: Titlebook: Riemannian Geometry; Sylvestre Gallot,Dominique Hulin,Jacques Lafontain Textbook 19871st edition Springer-Verlag Berlin Heidelberg 1987 Ri