启发 发表于 2025-3-25 07:05:08

Chapter 3: Bearing the Blood of FranceIn many cases, the manifolds of interest possess a metric tensor which defines an inner product between tangent vectors at each point of the manifold. Some examples are the submanifolds of an Euclidean space and the space–time, in the context of special or general relativity.

ADORE 发表于 2025-3-25 09:23:58

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急急忙忙 发表于 2025-3-25 12:30:58

Riemannian Manifolds,In many cases, the manifolds of interest possess a metric tensor which defines an inner product between tangent vectors at each point of the manifold. Some examples are the submanifolds of an Euclidean space and the space–time, in the context of special or general relativity.

提升 发表于 2025-3-25 16:30:53

Lie Groups,A Lie group is a group that possesses, in addition to the algebraic structure of a group, a differentiable manifold structure compatible with its algebraic structure in the sense that the group operations are differentiable functions.

托运 发表于 2025-3-25 21:39:52

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宽大 发表于 2025-3-26 01:44:02

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刚开始 发表于 2025-3-26 05:09:59

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accrete 发表于 2025-3-26 10:19:29

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完成 发表于 2025-3-26 14:22:28

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枫树 发表于 2025-3-26 20:51:01

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查看完整版本: Titlebook: Differentiable Manifolds; A Theoretical Physic Gerardo F. Torres del Castillo Textbook 20121st edition Springer Science+Business Media, LLC