1. On almost pseudo-conformally symmetric Ricci-recurrent manifolds with applications to relativity
- Creator:
- Chand De, Uday and De, Avik
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- pseudo-conformally symmetric manifold, almost pseudo-conformally symmetric manifold, Ricci-recurrent manifold, Einstein field equations, and Segre' characteristic
- Language:
- English
- Description:
- The object of the present paper is to study almost pseudo-conformally symmetric Ricci-recurrent manifolds. The existence of almost pseudo-conformally symmetric Ricci-recurrent manifolds has been proved by an explicit example. Some geometric properties have been studied. Among others we prove that in such a manifold the vector field $\rho $ corresponding to the 1-form of recurrence is irrotational and the integral curves of the vector field $\rho $ are geodesic. We also study some global properties of such a manifold. Finally, we study almost pseudo-conformally symmetric Ricci-recurrent spacetime. We obtain the Segre' characteristic of such a spacetime.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public