Geometric interpretation of the Wagner curvature tensor in the case of a manifold with contact metric structure

被引：0
|
作者：
S. V. Galaev
机构：
[1] Saratov State University,
来源：
Siberian Mathematical Journal | 2016年 / 57卷
关键词：
almost contact metric structure; -extended connection; extended almost contact metric structure; Wagner curvature tensor;
D O I：
暂无
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学科分类号：
摘要：
Considering a manifold (φ, ξ, η, g, X, D) with contact metric structure, we introduce the concept of N-extended connection (connection on a vector bundle (D, π,X)), with N an endomorphism of the distribution D, and show that the curvature tensor of each N-extended connection for a suitably chosen endomorphism N coincides with the Wagner curvature tensor.
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页码：498 / 504
页数：6
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