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.
引用
收藏
页码：30 / 34
页数：5
相关论文
共 50 条
  • [1] On generalized Riemannian spaces containing Riemannian subspaces
    S. M. Minčić
    L. S. Velimirović
    [J]. Russian Mathematics, 2007, 51 (11) : 30 - 34
  • [2] GENERALIZED RIEMANNIAN SPACES
    ALEKSANDROV, AD
    BERESTOVSKII, VN
    NIKOLAEV, IG
    [J]. RUSSIAN MATHEMATICAL SURVEYS, 1986, 41 (03) : 1 - 54
  • [3] CERTAIN SUBSPACES OF RIEMANNIAN RECURRENT SPACES
    MIYAZAWA, T
    CHUMAN, G
    [J]. TENSOR, 1972, 23 (02): : 253 - &
  • [4] RIEMANNIAN SPACES CONTAINING STRAIGHT LINES
    TOPONOGOV, VA
    [J]. DOKLADY AKADEMII NAUK SSSR, 1959, 127 (05): : 977 - 979
  • [5] Special Geometric Objects in Generalized Riemannian Spaces
    Stefanovic, Marko
    Vesic, Nenad
    Simjanovic, Dusan
    Randjelovic, Branislav
    [J]. AXIOMS, 2024, 13 (07)
  • [6] On geodesic mappings of equidistant generalized Riemannian spaces
    Ciric, Marija S.
    Zlatanovic, Milan Lj
    Stankovic, Mica S.
    Velimirovic, Ljubica S.
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (12) : 6648 - 6655
  • [7] On Equitorsion Concircular Tensors of Generalized Riemannian Spaces
    Zlatanovic, Milan
    Hinterleitner, Irena
    Najdanovic, Marija
    [J]. FILOMAT, 2014, 28 (03) : 463 - 471
  • [8] Geodesic Infinitesimal Deformations of Generalized Riemannian Spaces
    Marija S. Najdanović
    Ljubica S. Velimirović
    Nenad O. Vesić
    [J]. Mediterranean Journal of Mathematics, 2022, 19
  • [9] GENERALIZED POINTWISE SYMMETRIC RIEMANNIAN SPACES - A CLASSIFICATION
    MARINOSCI, RA
    [J]. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1988, 104 : 505 - 520
  • [10] EQUITORSION CONFORM MAPPINGS OF GENERALIZED RIEMANNIAN SPACES
    Stankovic, Mica S.
    Velimirovic, Ljubica S.
    Mincic, Svetislav M.
    Zlatanovic, Milan Lj.
    [J]. MATEMATICKI VESNIK, 2009, 61 (02): : 119 - 129
12345