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- Title
EINSTEIN DOUBLY WARPED PRODUCT MANIFOLDS WITH SEMI-SYMMETRIC METRIC CONNECTION.
- Authors
GUPTA, PUNAM; DIALLO, ABDOUL SALAM
- 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.
- Subjects
EINSTEIN manifolds; RIEMANNIAN manifolds; CURVATURE; LEVI-Civita tensor; MATHEMATICAL formulas
- Publication
Universitatis Iagellonicae Acta Mathematica, 2020, Vol 57, p7
- ISSN
0083-4386
- Publication type
Article
- DOI
10.4467/20843828AM.20.001.13311