On Generalized Riemannian Spaces Containing Riemannian Subspaces

被引：0
|
作者：
Mincic, S. M. [1 ]
Velimirovic, L. S. [1 ]
机构：
[1] Univ Nis, Visegradska 33, Nish 18000, Serbia
来源：
RUSSIAN MATHEMATICS | 2007年 / 51卷 / 11期
关键词：
D O I：
10.3103/S1066369X07110047
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the paper, we establish conditions under which a generalized Riemannian space may contain a subspace with symmetric induced basic tensor. We consider the two cases. In the first case, a subspace is assumed to be given, and the problem is to find the skew-symmetric part of the basic tensor of the space. In the second case, the skew-symmetric part of the basic tensor is given, and the problem is to find a subspace such that the induced basic tensor is symmetric. All results are local in character.
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收藏
页码：30 / 34
页数：5
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