-Ricci Solitons on Quasi-Sasakian Manifolds

Sujit Ghosh

Open Access

η-Ricci Solitons on Quasi-Sasakian Manifolds

Sujit Ghosh

| Dec 07, 2018

Annals of West University of Timisoara - Mathematics and Computer Science

Volume 56 (2018): Issue 1 (July 2018)

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Page range: 73 - 85

Received: Jun 12, 2018

Accepted: Oct 10, 2018

DOI: https://doi.org/10.2478/awutm-2018-0006

Keywords
-Ricci soliton, quasi-Sasakian manifold, Codazzi-type Ricci tensor, cyclic parallel Ricci tensor, -Einstein manifold, Einstein manifold, -Ricci symmetric

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

The object of the present paper is to study η-Ricci solitons in a 3-dimensional non-cosymplectic quasi-Sasakian manifolds. We study a particular type of second order parallel tensor in this manifold. Beside this we consider this manifold satisfying some curvature properties of Ricci tensor.

eISSN:: 1841-3307
Language:: English

Publication timeframe:: Volume Open
Journal Subjects:: Mathematics, General Mathematics

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η-Ricci Solitons on Quasi-Sasakian Manifolds

Published Online: Dec 07, 2018

Page range: 73 - 85

Received: Jun 12, 2018

Accepted: Oct 10, 2018

DOI: https://doi.org/10.2478/awutm-2018-0006

Keywords
-Ricci soliton, quasi-Sasakian manifold, Codazzi-type Ricci tensor, cyclic parallel Ricci tensor, -Einstein manifold, Einstein manifold, -Ricci symmetric

© 2018 Sujit Ghosh, published by Sciendo

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

η-Ricci Solitons on Quasi-Sasakian Manifolds

Published Online: Dec 07, 2018

Page range: 73 - 85

Received: Jun 12, 2018

Accepted: Oct 10, 2018

DOI: https://doi.org/10.2478/awutm-2018-0006

Keywords-Ricci soliton, quasi-Sasakian manifold, Codazzi-type Ricci tensor, cyclic parallel Ricci tensor, -Einstein manifold, Einstein manifold, -Ricci symmetric

© 2018 Sujit Ghosh, published by Sciendo

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

Keywords
-Ricci soliton, quasi-Sasakian manifold, Codazzi-type Ricci tensor, cyclic parallel Ricci tensor, -Einstein manifold, Einstein manifold, -Ricci symmetric