Affiliation:
1. Department of Medical Physics and Biophysics, Faculty of Pharmacy, Medical University of Plovdiv, 15A Vasil Aprilov Blvd., 4002 Plovdiv, Bulgaria
Abstract
A natural connection with torsion is defined, and it is called the first natural connection on the Riemannian Π-manifold. Relations between the introduced connection and the Levi–Civita connection are obtained. Additionally, relations between their respective curvature tensors, torsion tensors, Ricci tensors, and scalar curvatures in the main classes of a classification of Riemannian Π-manifolds are presented. An explicit example of dimension five is provided.
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
Reference16 articles.
1. On almost paracontact Riemannian manifolds of type (n,n);Manev;J. Geom.,2001
2. On the almost paracontact almost paracomplex Riemannian manifolds;Manev;Facta Univ. Ser. Math. Inform.,2018
3. Para-Sasaki-like Riemannian manifolds and new Einstein metrics;Ivanov;Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A Mat.,2021
4. Manev, H., and Manev, M. (2021). Pair of associated Schouten-van Kampen connections adapted to an almost paracontact almost paracomplex Riemannian structure. Mathematics, 9.
5. Manev, H., and Manev, M. (2021). Para-Ricci-like solitons on Riemannian manifolds with almost paracontact structure and almost paracomplex structure. Mathematics, 9.
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