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

被引：1

作者：

Galaev, S. V. ^{[1
]}

机构：

[1] Saratov NG Chernyshevskii State Univ, Saratov, Russia

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2016年 / 57卷 / 03期

关键词：

almost contact metric structure; N-extended connection; extended almost contact metric structure; Wagner curvature tensor;

D O I：

10.1134/S0037446616030101

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Considering a manifold (phi, xi, eta, g, X, D) with contact metric structure, we introduce the concept of N-extended connection (connection on a vector bundle (D, pi,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：7