On almost pseudo-conformally symmetric Ricci-recurrent manifolds with applications to relativity

Title:

On almost pseudo-conformally symmetric Ricci-recurrent manifolds with applications to relativity

Creator:

Chand De, Uday and De, Avik

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:02430a9c-16c6-4e3e-a608-5c8ea03af331
uuid:02430a9c-16c6-4e3e-a608-5c8ea03af331

Subject:

pseudo-conformally symmetric manifold, almost pseudo-conformally symmetric manifold, Ricci-recurrent manifold, Einstein field equations, and Segre' characteristic

Type:

model:article and TEXT

Format:

bez média and svazek

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.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

1055-1072

Source:

Czechoslovak Mathematical Journal | 2012 Volume:62 | Number:4

Harvested from:

CDK

Metadata only:

false