CURVATURE PROPERTIES OF PROJECTIVE SEMI-SYMMETRIC LINEAR CONNECTIONS

被引：0

作者：

Zlatanovic, Milan L. J. ^{[1
]}

Petrovic, Milos Z. ^{[2
]}

Maksimovic, Miroslav D. ^{[3
]}

机构：

[1] Univ Nis, Fac Sci & Math, Dept Math, Visegradska 33, Nish 18106, Serbia

[2] Univ Nis, Fac Agr Krusevac, Kosanciceva 4, Krusevac 37000, Serbia

[3] Univ Pristina Kosovska Mitrovica, Fac Sci & Math, Dept Math, Lole Ribara 29, Kosovska Mitrovica 38220, Serbia

来源：

MISKOLC MATHEMATICAL NOTES | 2023年 / 24卷 / 03期

关键词：

semi-symmetric linear connection; projective connection; Riemannian metric; curvature tensor; Weyl tensor of projective curvature; EQUITORSION GEODESIC MAPPINGS; METRIC CONNECTION; INVARIANTS; TENSORS;

D O I：

10.18514/MMN.2023.4225

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study a projective semi-symmetric linear connection on a differentiable manifold M endowed with a Riemannian metric g. We start with linearly independent curvature tensors R , e = 0,1,...,5 and derive the tensors W for e = 0,1, ... , 5 that, as we show, coincide with the e e Weyl tensor of projective curvature Wg. This confirms the well-known fact that there does not exist a generalization of the Weyl projective curvature tensor Wg.

引用

页码：1615 / 1635

页数：21

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