A note on almost quasi Yamabe solitons and gradient almost quasi Yamabe solitons
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, vol.50, no.3, pp.770-777, 2021 (SCI-Expanded, Scopus, TRDizin)
- Publication Type: Article / Article
- Volume: 50 Issue: 3
- Publication Date: 2021
- Doi Number: 10.15672/hujms.785628
- Journal Name: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH, TR DİZİN (ULAKBİM)
- Page Numbers: pp.770-777
- Keywords: almost quasi-Yamabe solitons, gradient almost quasi-Yamabe solitons, Kenmotsu manifolds, CLASSIFICATION
- Inonu University Affiliated: Yes
Abstract
In this article, we characterize almost quasi-Yamabe solitons and gradient almost quasiYamabe solitons in context of three dimensional Kenmotsu manifolds. It is proven that if the metric of a three dimensional Kenmotsu manifold admits an almost quasi-Yamabe soliton with soliton vector field W then the manifold is of constant sectional curvature -1, but the converse is not true has been shown by a concrete example, under the restriction phi W not equal 0. Next we consider gradient almost quasi-Yamabe solitons in a three dimensional Kenmotsu manifold.