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arXiv · 2008.01461

Einstein doubly warped product manifolds with a semi-symmetric metric connection

Punam Gupta·Abdoul Salam Diallo
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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.

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Punam Gupta, Abdoul Salam Diallo. 2020-08-04. Einstein doubly warped product manifolds with a semi-symmetric metric connection. https://arxiv.org/abs/2008.01461

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