Pseudo projectively flat manifolds satisfying certain condition on the Ricci tensor.
Some Properties of Lorentzian -Sasakian Manifolds with Respect to Quarter-symmetric Metric Connection
The aim of this paper is to study generalized recurrent, generalized Ricci-recurrent, weakly symmetric and weakly Ricci-symmetric, semi-generalized recurrent, semi-generalized Ricci-recurrent Lorentzian -Sasakian manifold with respect to quarter-symmetric metric connection. Finally, we give an example of 3-dimensional Lorentzian -Sasakian manifold with respect to quarter-symmetric metric connection.
Conformal Ricci Soliton in Lorentzian -Sasakian Manifolds
In this paper we have studied conformal curvature tensor, conharmonic curvature tensor, projective curvature tensor in Lorentzian -Sasakian manifolds admitting conformal Ricci soliton. We have found that a Weyl conformally semi symmetric Lorentzian -Sasakian manifold admitting conformal Ricci soliton is -Einstein manifold. We have also studied conharmonically Ricci symmetric Lorentzian -Sasakian manifold admitting conformal Ricci soliton. Similarly we have proved that a Lorentzian -Sasakian...
Some Classes of Lorentzian -Sasakian Manifolds Admitting a Quarter-symmetric Metric Connection
The object of the present paper is to study a quarter-symmetric metric connection in an Lorentzian -Sasakian manifold. We study some curvature properties of an Lorentzian -Sasakian manifold with respect to the quarter-symmetric metric connection. We study locally -symmetric, -symmetric, locally projective -symmetric, -projectively flat Lorentzian -Sasakian manifold with respect to the quarter-symmetric metric connection.
Characterization on Mixed Generalized Quasi-Einstein Manifold
In the present paper we study characterizations of odd and even dimensional mixed generalized quasi-Einstein manifold. Next we prove that a mixed generalized quasi-Einstein manifold is a generalized quasi-Einstein manifold under a certain condition. Then we obtain three and four dimensional examples of mixed generalized quasi-Einstein manifold to ensure the existence of such manifold. Finally we establish the examples of warped product on mixed generalized quasi-Einstein manifold.
Page 1