colostrum 发表于 2025-3-23 13:18:13

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Glycogen 发表于 2025-3-23 17:45:01

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媒介 发表于 2025-3-23 21:39:13

Applications of Affine and Weyl Geometry978-3-031-02405-4Series ISSN 1938-1743 Series E-ISSN 1938-1751

北极人 发表于 2025-3-24 01:21:37

https://doi.org/10.1007/978-3-658-13852-3Let Φ be a symmetric (0, 2)-tensor field on an affine manifold (., ∇ ) of dimension . and let σ be the natural projection from .*. to .. We set . = . = Id and adopt the notation of Section 1.7. The modified Riemannian extension .∇, Φ,. is the metric of neutral signature (., . ) on the cotangent bundle given in a coordinate free fashion by taking:

archaeology 发表于 2025-3-24 05:01:11

The Geometry of Modified Riemannian Extensions,Let Φ be a symmetric (0, 2)-tensor field on an affine manifold (., ∇ ) of dimension . and let σ be the natural projection from .*. to .. We set . = . = Id and adopt the notation of Section 1.7. The modified Riemannian extension .∇, Φ,. is the metric of neutral signature (., . ) on the cotangent bundle given in a coordinate free fashion by taking:

Visual-Field 发表于 2025-3-24 10:05:52

Synthesis Lectures on Mathematics & Statisticshttp://image.papertrans.cn/a/image/159280.jpg

GUISE 发表于 2025-3-24 14:03:18

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擦试不掉 发表于 2025-3-24 15:50:30

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Friction 发表于 2025-3-24 19:11:12

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生锈 发表于 2025-3-25 00:19:36

Basic Notions and Concepts, is needed is presented in Section 1.1. Section 1.2 introduces the notion of a connection and the associated curvature operator on a general vector bundle. Of particular interest is the case when the bundle in question is the tangent bundle. The torsion tensor . is introduced; a connection is called
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查看完整版本: Titlebook: Applications of Affine and Weyl Geometry; Eduardo García-Río,Peter Gilkey,Ramón Vázquez-Lore Book 2013 Springer Nature Switzerland AG 2013