Special Geometric Objects in Generalized Riemannian Spaces

被引：0
|
作者：
Stefanovic, Marko [1 ]
Vesic, Nenad [2 ]
Simjanovic, Dusan [3 ]
Randjelovic, Branislav [4 ,5 ]
机构：
[1] Univ Nis, Fac Sci & Math, Nish 18000, Serbia
[2] Univ Belgrade, Serbian Acad Sci & Arts, Math Inst, Belgrade 11000, Serbia
[3] Metropolitan Univ, Fac Informat Technol, Belgrade 11158, Serbia
[4] Univ Nis, Fac Elect Engn, Nish 18000, Serbia
[5] Univ Pristina K Mitrov, Fac Teachers Educ, Leposavic 38218, Serbia
来源：
AXIOMS | 2024年 / 13卷 / 07期
关键词：
Riemannian space; invariant of Thomas type; invariant of Weyl type; invariant; pressure; energy density; spin tensor; HOLOMORPHICALLY PROJECTIVE MAPPINGS; GEODESIC MAPPINGS; INVARIANTS;
D O I：
10.3390/axioms13070463
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we obtained the geometrical objects that are common in different definitions of the generalized Riemannian spaces. These objects are analogies to the Thomas projective parameter and the Weyl projective tensor. After that, we obtained some geometrical objects important for applications in physics.
引用
收藏
页数：12
相关论文
共 50 条
  • [1] GENERALIZED RIEMANNIAN SPACES
    ALEKSANDROV, AD
    BERESTOVSKII, VN
    NIKOLAEV, IG
    RUSSIAN MATHEMATICAL SURVEYS, 1986, 41 (03) : 1 - 54
  • [2] On generalized Riemannian spaces containing Riemannian subspaces
    S. M. Minčić
    L. S. Velimirović
    Russian Mathematics, 2007, 51 (11) : 30 - 34
  • [3] On Generalized Riemannian Spaces Containing Riemannian Subspaces
    Mincic, S. M.
    Velimirovic, L. S.
    RUSSIAN MATHEMATICS, 2007, 51 (11) : 30 - 34
  • [4] Special Almost Geodesic Mappings of the Second Type Between Generalized Riemannian Spaces
    Petrovic, Milos Z.
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2019, 42 (02) : 707 - 727
  • [5] Special Almost Geodesic Mappings of the Second Type Between Generalized Riemannian Spaces
    Miloš Z. Petrović
    Bulletin of the Malaysian Mathematical Sciences Society, 2019, 42 : 707 - 727
  • [6] On approximation in spaces of geometric objects
    Pottmann, H
    Peternell, M
    MATHEMATICS OF SURFACES IX, 2000, : 438 - 458
  • [7] ON AN ORDER OF SPECIAL TRANSFORMATION OF RIEMANNIAN SPACES
    MIKES, J
    DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS /, 1988, : 199 - 208
  • [8] On Equitorsion Concircular Tensors of Generalized Riemannian Spaces
    Zlatanovic, Milan
    Hinterleitner, Irena
    Najdanovic, Marija
    FILOMAT, 2014, 28 (03) : 463 - 471
  • [9] On geodesic mappings of equidistant generalized Riemannian spaces
    Ciric, Marija S.
    Zlatanovic, Milan Lj
    Stankovic, Mica S.
    Velimirovic, Ljubica S.
    APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (12) : 6648 - 6655
  • [10] Geodesic Infinitesimal Deformations of Generalized Riemannian Spaces
    Marija S. Najdanović
    Ljubica S. Velimirović
    Nenad O. Vesić
    Mediterranean Journal of Mathematics, 2022, 19
12345