Ricci-Yamabe solitons and 3-dimensional Riemannian manifolds

Authors: UDAY CHAND DE, ARPAN SARDAR, KRISHNENDU DE

Abstract: In this paper, we classify 3-dimensional Riemannian manifolds endowed with a special type of vector field if the Riemannian metrices are Ricci-Yamabe solitons and gradient Ricci-Yamabe solitons, respectively. Finally, we construct an example to illustrate our result.

Keywords: Ricci-Yamabe soliton, gradient Ricci-Yamabe soliton, 3-dimensional Riemannian manifolds

Full Text: PDF