Einstein doubly warped product manifolds with a semi-symmetric metric connection
Differential Geometry
2020-08-05 v1
Abstract
In this paper, we study the doubly warped product manifolds with semisymmetric metric connection. We derive the curvatures formulas for doubly warped product manifold with semi-symmetric metric connection in terms of curvatures of components of doubly warped product manifolds. We also prove the necessary and sufficient condition for a doubly warped product manifold to be a warped product manifold. We obtain some results for Einstein doubly warped product manifold and Einstein-like doubly warped product manifold of class A with respect to a semi-symmetric metric connection.
Keywords
Cite
@article{arxiv.2008.01461,
title = {Einstein doubly warped product manifolds with a semi-symmetric metric connection},
author = {Punam Gupta and Abdoul Salam Diallo},
journal= {arXiv preprint arXiv:2008.01461},
year = {2020}
}
Comments
16 pages, Universitatis Iagellonicae Acta Mathematica(Accepted)