Acta Mathematica Academiae Paedagogicae Nyíregyháziensis, Vol. 27, No. 2, pp. 307-323 (2011)

Weakly cyclic Ricci symmetric manifolds admitting semi-symmetric metric connection

A. A. Shaikh, Lovejoy S. K.Das and Sanjib Kumar Jana

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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