<abstract xmlns="http://www.w3.org/1999/xhtml"><p> In this paper, we consider a quarter-symmetric metric connection in a P-Sasakian manifold. We investigate the curvature tensor and the Ricci tensor of a P-Sasakian manifold with respect to the quarter-symmetric metric connection. We consider semisymmetric P-Sasakian manifold with respect to the quarter- symmetric metric connection. Furthermore, we consider generalized recurrent P-Sasakian manifolds and prove the non-existence of recurrent and pseudosymmetric P-Sasakian manifolds with respect to the quarter-symmetric metric connection. Finally, we construct an example of a 5-dimensional P-Sasakian manifold admitting quarter-symmetric metric connection which verifies Theorem 4.1.</p></abstract>

In this paper, we consider a quarter-symmetric metric connection in a P-Sasakian manifold. We investigate the curvature tensor and the Ricci tensor of a P-Sasakian manifold with respect to the quarter-symmetric metric connection. We consider semisymmetric P-Sasakian manifold with respect to the quarter- symmetric metric connection. Furthermore, we consider generalized recurrent P-Sasakian manifolds and prove the non-existence of recurrent and pseudosymmetric P-Sasakian manifolds with respect to the quarter-symmetric metric connection. Finally, we construct an example of a 5-dimensional P-Sasakian manifold admitting quarter-symmetric metric connection which verifies Theorem 4.1.

Quarter-symmetric metric connection in a P-Sasakian manifold

Department of Pure Mathematics, University of Calcutta, 35, Ballygunge Circular Road, Kolkata- 700019, West Bengal, INDIA

Annals of West University of Timisoara - Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"Quarter-symmetric metric connection in a P-Sasakian manifold"}

In this paper, we consider a quarter-symmetric metric connection in a P-Sasakian manifold. We investigate the curvature tensor and the Ricci tensor of a...

Quarter-symmetric metric connection in a P-Sasakian manifold

Published Online: Dec 12, 2015

Page range: 137 - 150

Received: Feb 10, 2015

Accepted: Mar 14, 2015

DOI: https://doi.org/10.1515/awutm-2015-0007

Keywords
Quarter-symmetric metric connection, P-Sasakian manifold, semi-symmetric manifold, generalized recurrent manifold, recurrent manifold, pseudosymmetric manifold

© Annals of West University of Timisoara - Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Quarter-symmetric metric connection in a P-Sasakian manifold

Published Online: Dec 12, 2015

Page range: 137 - 150

Received: Feb 10, 2015

Accepted: Mar 14, 2015

DOI: https://doi.org/10.1515/awutm-2015-0007

KeywordsQuarter-symmetric metric connection, P-Sasakian manifold, semi-symmetric manifold, generalized recurrent manifold, recurrent manifold, pseudosymmetric manifold

© Annals of West University of Timisoara - Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Quarter-symmetric metric connection, P-Sasakian manifold, semi-symmetric manifold, generalized recurrent manifold, recurrent manifold, pseudosymmetric manifold