ON A MIXED SUPER QUASI-EINSTEIN MANIFOLD
B. B. CHATURVEDI
Department of Pure and Applied Mathematics, Guru Ghasidas Vishwavidyalaya, Bilaspur (C.G.)-495009, India.
PANKAJ PANDEY *
Department of Pure and Applied Mathematics, Guru Ghasidas Vishwavidyalaya, Bilaspur (C.G.)-495009, India.
*Author to whom correspondence should be addressed.
Abstract
The aim of the present paper is to study the mixed super quasi-Einstein manifold. In this paper, we have proved that in a mixed super quasi-Einstein manifold with associated parallel unit vector fields the orthonormal basis vectors are parallel unit vector fields. It is also proved that such manifold will be Ricci semi-symmetric if and only if it is D-semi-symmetric. Further, some results related to Einstein's eld equation and heat flux have been obtained in such manifold.
Keywords: Mixed super quasi-Einstein manifold, ricci semi-symmetric, D-semi-symmetric, einstein's field equation, heat flux