Showing papers by "Uday Chand De published in 2008"

On quasi einstein manifolds

Abstract: The object of the present paper is to study some properties of a quasi Einstein manifold. A non-trivial concrete example of a quasi Einstein manifold is also given.

On Three-Dimensional Trans-Sasakian Manifolds

Abstract: The object of the present paper is to study 3-dimensional trans-Sasakian manifolds which are locally `-symmetric and have ·-parallel Ricci tensor Also 3-dimensional trans- Sasakian manifolds of constant curvature have been considered An example of a three- dimensional locally `-symmetric trans-Sasakian manifold is given

On nearly quasi einstein manifolds

Abstract: The objective of the present paper is to study a type of non-flat Riemannian manifold called nearly quasi Einstein manifold. The existence of a nearly quasi Einstein manifold is also proved by a non-trivial concrete example.

On Φ-recurrent N(k)-contact Metric Manifolds

Abstract: In this paper we prove that a Φ-recurrent N(k)-contact metric manifold is an η-Einstein manifold with constant coefficients. Next, we prove that a 3-dimensional Φ-recurrent N(k)-contact metric manifold is of constant curvature. The existence of a Φ-recurrent N(k)-contact metric manifold is also proved.

ON Φ-RECURRENT (k, μ)-CONTACT METRIC MANIFOLDS

Abstract: In this paper we prove that a -recurrent (k, )-contact metric manifold is an -Einstein manifold with constant coefficients. Next, we prove that a three-dimensional locally -recurrent (k, )-contact metric manifold is the space of constant curvature. The existence of -recurrent (k, )-manifold is proved by a non-trivial example.