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Certain Curvature Conditions on Kenmotsu Manifolds and 🟉-η-Ricci Solitons
- Source :
- Axioms, Volume 12, Issue 2, Pages: 140
- Publication Year :
- 2023
- Publisher :
- Multidisciplinary Digital Publishing Institute, 2023.
-
Abstract
- The present paper deals with the investigations of a Kenmotsu manifold satisfying certain curvature conditions endowed with 🟉-η-Ricci solitons. First we find some necessary conditions for such a manifold to be φ-Einstein. Then, we study the notion of 🟉-η-Ricci soliton on this manifold and prove some significant results related to this notion. Finally, we construct a nontrivial example of three-dimensional Kenmotsu manifolds to verify some of our results.
Details
- Language :
- English
- ISSN :
- 20751680
- Database :
- OpenAIRE
- Journal :
- Axioms
- Accession number :
- edsair.multidiscipl..b2c31cb2ed38ff41d89310c88b7bc335
- Full Text :
- https://doi.org/10.3390/axioms12020140