<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In this paper, we study generalized quasi-Einstein warped products with respect to quarter symmetric connection for dimension n ≥ 3 and Ricci-symmetric generalized quasi-Einstein manifold with quarter symmetric connection. We also investigate that in what conditions the generalized quasi-Einstein manifold to be nearly Einstein manifold with respect to quarter symmetric connection. Example of warped product on generalized quasi-Einstein manifold with respect to quarter symmetric connection are also discussed.</p></abstract>

In this paper, we study generalized quasi-Einstein warped products with respect to quarter symmetric connection for dimension n ≥ 3 and Ricci-symmetric generalized quasi-Einstein manifold with quarter symmetric connection. We also investigate that in what conditions the generalized quasi-Einstein manifold to be nearly Einstein manifold with respect to quarter symmetric connection. Example of warped product on generalized quasi-Einstein manifold with respect to quarter symmetric connection are also discussed.

On a non flat Riemannian warped product manifold with respect to quarter-symmetric connection

Department of Mathematics, Institute of Science

Acta Universitatis Sapientiae, Mathematica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

In this paper, we study generalized quasi-Einstein warped products with respect to quarter symmetric connection for dimension n ≥ 3 and Ricci-symmetric...

On a non flat Riemannian warped product manifold with respect to quarter-symmetric connection

Published Online: Feb 27, 2020

Page range: 332 - 349

Received: Oct 23, 2018

DOI: https://doi.org/10.2478/ausm-2019-0024

Keywords
Einstein manifold, quasi-Einstein manifold, nearly quasi-Einstein manifold, generalized quasi-Einstein manifold, warped product manifold

© 2019 Buddhadev Pal et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

On a non flat Riemannian warped product manifold with respect to quarter-symmetric connection

Published Online: Feb 27, 2020

Page range: 332 - 349

Received: Oct 23, 2018

DOI: https://doi.org/10.2478/ausm-2019-0024

KeywordsEinstein manifold, quasi-Einstein manifold, nearly quasi-Einstein manifold, generalized quasi-Einstein manifold, warped product manifold

© 2019 Buddhadev Pal et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Einstein manifold, quasi-Einstein manifold, nearly quasi-Einstein manifold, generalized quasi-Einstein manifold, warped product manifold