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

页数：12

共 50 条

[31] Geometric Objects Recurrent in a Direction and Directionally Recurrent Finsler Spaces
Saxena, Shivalika
Pandey, P. N.
Shukla, Suresh K.
ADVANCEMENT IN MATHEMATICAL SCIENCES, 2017, 1897
[32] CLASSIFICATION OF 5-DIMENSIONAL GENERALIZED POINTWISE SYMMETRICAL RIEMANNIAN SPACES
MARINOSCI, RA
GEOMETRIAE DEDICATA, 1995, 57 (01) : 11 - 53
[33] On decomposition of generalized Riemannian symmetric spaces and complete lifts of Clifford translations
Gholam Hossein Arab
Megerdich Toomanian
Mathematical Sciences, 2022, 16 : 207 - 211
[34] On decomposition of generalized Riemannian symmetric spaces and complete lifts of Clifford translations
Arab, Gholam Hossein
Toomanian, Megerdich
MATHEMATICAL SCIENCES, 2022, 16 (02) : 207 - 211
[35] GENERALIZED RIEMANNIAN INTEGRALS IN SPACES C(M),M-)1
BADESCO, R
NANES, C
SEBESAN, I
ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI RENDICONTI-CLASSE DI SCIENZE FISICHE-MATEMATICHE & NATURALI, 1969, 46 (06): : 667 - &
[36] Geometric structures on moduli spaces of special lagrangian submanifolds
De Bartolomeis P.
Annali di Matematica Pura ed Applicata, 2001, 179 (1) : 361 - 382
[37] Some geometric inequalities on Riemannian manifolds associated with the generalized modified Ricci curvature
Huang, Guangyue
Zhu, Mingfang
JOURNAL OF MATHEMATICAL PHYSICS, 2022, 63 (11)
[38] A difference approximation of the covariant derivative and other operators and geometric objects given in a Riemannian domain
Derevtsov, E. Yu.
SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA, 2015, 12 : 973 - 990
[39] ON NUMBER SPECIAL QUADRATIC FIRST INTEGRALS IN AFFINELY CONNECTED AND RIEMANNIAN SPACES
LEVINE, J
KATZIN, GH
TENSOR, 1968, 19 (01): : 113 - &
[40] GENERALIZED β-CONFORMAL CHANGE AND SPECIAL FINSLER SPACES
Youssef, Nabil L.
Abed, S. H.
Elgendi, S. G.
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2012, 9 (03)

← 1 2 3 4 5 →