%0 Journal Article
%T Einstein doubly warped product manifolds with semi-symmetric metric connection
%A Gupta, Punam
%A Diallo, Abdoul Salam
%J Universitatis Iagellonicae Acta Mathematica
%V 2020
%R 10.4467/20843828AM.20.001.13311
%N Tom 57
%P 7-24
%K Doubly warped products, semi-symmetric metric connection, Levi-Civita connection, Einstein manifolds, Einstein-like manifold of class A
%@ 0083-4386
%D 2020
%U https://ejournals.eu/czasopismo/universitatis-iagellonicae-acta-mathematica/artykul/einstein-doubly-warped-product-manifolds-with-semi-symmetric-metric-connection
%X 
	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