Kenmotsu 3-manifolds and gradient solitons

F. Mofarreh; U.C. De

doi:10.15330/cmp.15.1.120-127

Kenmotsu 3-manifolds and gradient solitons

Authors

F. Mofarreh Princess Nourahbint Abdulrahaman University, Riyadh, Saudi Arabia https://orcid.org/0000-0002-2116-7382
U.C. De University of Calcutta, West Bengal, India

https://doi.org/10.15330/cmp.15.1.120-127

Keywords:

Kenmotsu 3-manifold, gradient Yamabe soliton, gradient Einstein soliton

Published online: 2023-06-20

Abstract

The aim of this article is to characterize a Kenmotsu 3-manifold whose metric is either a gradient Yamabe soliton or gradient Einstein soliton. It is proven that in both cases this manifold is reduced to the manifold of constant sectional curvature. Finally, we verify the obtained results by an example.