Multiply Warped Products with a Semisymmetric Metric Connection

Multiply Warped Product on Quasi-einstein Manifold with a Semi-symmetric Non-metric Connection

In this paper, we have studied warped products and multiply warped product on quasi-Einstein manifold with semi-symmetric nonmetric connection. Then we have applied our results to generalized Robertson-Walker space times with a semi-symmetric non-metric connection.

On Concircular Φ-Recurrent Κ-Contact Manifold Admitting Semisymmetric Metric Connection

Invariant Submanifolds of Sasakian Manifolds Admitting Semisymmetric Nonmetric Connection

The object of this paper is to study invariant submanifoldsM of Sasakian manifolds ̃ M admitting a semisymmetric nonmetric connection, and it is shown that M admits semisymmetric nonmetric connection. Further it is proved that the second fundamental forms σ and σ with respect to Levi-Civita connection and semi-symmetric nonmetric connection coincide. It is shown that if the second fundamental fo...

Some vector fields on a riemannian manifold with semi-symmetric metric connection

In the first part of this paper, some theorems are given for a Riemannian manifold with semi-symmetric metric connection. In the second part of it, some special vector fields, for example, torse-forming vector fields, recurrent vector fields and concurrent vector fields are examined in this manifold. We obtain some properties of this manifold having the vectors mentioned above.

Warped Products Admitting a Curvature Bound

Warped products provide perhaps the major source of examples and counterexamples in metric and Riemannian geometry. Sufficient conditions for a warped product B×f F to have a curvature bound in the sense of Alexandrov, either above or below, are found in [AB 04]. Given the importance of warped products, we want to know if all the known sufficient conditions are needed. Here we prove their neces...