Authors: Maksimović, Miroslav D.
Petrović, Miloš Z.
Vesić, Nenad 
Zlatanović, Milan Lj.
Affiliations: Mathematics 
Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: Concircularly semi-symmetric metric connection
Journal: Quaestiones Mathematicae
Issue Date: 1-Jan-2023
Rank: ~M21
ISSN: 1607-3606
DOI: 10.2989/16073606.2023.2230369
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.
Keywords: Concircular curvature tensor | concircular vector | Einstein manifold | Riemannian manifold | semi-symmetric connection | Weyl projective curvature tensor
Publisher: Taylor & Francis

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