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.

引用

页码：498 / 504

页数：6