Study of a Projective Ricci Semi-symmetric Nearly Kaehler Manifold
B. B. Chaturvedi *
Department of Mathematics, Guru Ghasidas Vishwavidyalaya Bilaspur (C.G.), India.
Kunj Bihari Kaushik
Department of Mathematics, Guru Ghasidas Vishwavidyalaya Bilaspur (C.G.), India.
*Author to whom correspondence should be addressed.
Abstract
We inaugurate a new curvature properties of projective curvature tensor in nearly Kaehler manifold. We defined projective Ricci semi-symmetric quasi-Einstein nearly Kaehler manifold, Projective Ricci semisymmetric generalised quasi-Einstein nearly Kaehler manifold and a Projective Ricci semi-symmetric pseudo generalised quasi-Einstein nearly Kaehler manifold and also found some results in the manifold.
Keywords: Nearly Kaehler manifold, Einstein manifold, quasi-Einstein manifold, generalised quasi-Einstein manifold, pseudo generalised quasi-Einstein manifold, projective curvature tensor