|Authors:||Maksimović, Miroslav D.
Petrović, Miloš Z.
Zlatanović, Milan Lj.
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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