Title of article :
On the existence of a new class of semi-Riemannian manifolds
Author/Authors :
Shaikh, Absos Ali University of Burdwan - Department of Mathematics, India , Al-Solamy, Falleh R University of Tabuk - Faculty of Science - Department of Mathematics, Saudi Arabia , Roy, Indranil University of Burdwan - Department of Mathematics, India
Abstract :
The present paper deals with the existence of a new class of semi-Riemannian manifolds which are weakly generalized recurrent, pseudo quasi-Einstein and fulfill the condition R · R = Q(S, R). For this purpose, we presented a metric, computed its curvature properties, and finally checked various geometric structures arising out from the different curvatures by means of their covariant derivatives of first and second order.
Keywords :
Recurrent , Weakly generalized recurrent , Pseudo quasi , Einstein , Pseudosymmetric , Ricci , generalized pseudosymmetric , Conformal , Projective , Conharmonic curvature tensor
Journal title :
Mathematical Sciences
Journal title :
Mathematical Sciences
