@article{ccd1a18d-6871-44c9-a19c-8cf74e617009,
author = {Punam Gupta, Abdoul Salam Diallo},
title = {Einstein doubly warped product manifolds with semi-symmetric metric connection},
journal = {Universitatis Iagellonicae Acta Mathematica},
volume = {2020},
number = {Tom 57},
year = {2020},
issn = {0083-4386},
pages = {7-24},keywords = {Doubly warped products; semi-symmetric metric connection; Levi-Civita connection; Einstein manifolds; Einstein-like manifold of class A},
abstract = {In this paper, we study the doubly warped product manifolds with semi-symmetric metric connection. We derive the curvature 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 an Einstein doubly warped product manifold and Einstein-like doubly warped product manifold of class A with respect to a semi-symmetric metric connection.

	2010 Mathematics Subject Classification. 53C05, 53C25, 53C50},
doi = {10.4467/20843828AM.20.001.13311},
url = {https://ejournals.eu/czasopismo/universitatis-iagellonicae-acta-mathematica/artykul/einstein-doubly-warped-product-manifolds-with-semi-symmetric-metric-connection}
}