Generalised Ricci Solitons on Sasakian Manifolds

Mohammed El Amine Mekki; Ahmed Mohammed Cherif

doi:10.5666/KMJ.2017.57.4.677

Articles

Kyungpook Mathematical Journal 2017; 57(4): 677-682

Published online December 23, 2017

Generalised Ricci Solitons on Sasakian Manifolds

Mohammed El Amine Mekki and Ahmed Mohammed Cherif

Department of Mathematics, University Mustapha Stambouli, Mascara, 29000, Algeria

Received: January 12, 2017; Accepted: July 18, 2017

Abstract

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Abstract

In this paper, we show that a Sasakian manifold which also satisfies the generalised gradient Ricci soliton equation, satisfying some conditions, is necessarily Einstein.

Keywords: Sasakian manifolds, Ricci soliton, Einstein manifolds