University of Burdwan, and Ken State University
Abstract: In this paper the definition of weakly cyclic Ricci symmetric manifolds admitting semi-symmetric metric connection is given and its applications to the general relativity and cosmology are investigated. The existence of such a manifold is proved by an example.
Keywords: weakly cyclic Ricci symmetric manifolds, semi-symmetric metric connection, Riccati equation, Sturm-Liouville equation, Frobenius method
Classification (MSC2000): 53B35; 53B05
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