1. CONCIRCULARLY SEMI-SYMMETRIC METRIC CONNECTION.
- Author
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MAKSIMOVIĆ, MIROSLAV D., PETROVIĆ, MILOŠ Z., VESIĆ, NENAD O., and ZLATANOVIĆ, MILAN LJ.
- Subjects
RIEMANNIAN manifolds ,EINSTEIN manifolds ,RIEMANNIAN metric ,CURVATURE - Abstract
Results on a concircularly semi-symmetric metric connection on a Riemannian manifold are presented. Six linearly independent curvature tensors with respect to this non-symmetric linear connection are studied, and the tensors coincident with the Weyl projective curvature tensor and the concircular curvature tensor of the Levi-Civita connection are determined. Transformations of connections when the Riemannian curvature tensor, Weyl projective curvature tensor and the concircular curvature tensor of the Levi-Civita connection are invariant are also observed. Moreover, new conditions for the Einstein manifold are derived. [ABSTRACT FROM AUTHOR]
- Published
- 2024
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