Axioms (Jan 2023)

Certain Curvature Conditions on Kenmotsu Manifolds and 🟉-<i>η</i>-Ricci Solitons

  • Halil İbrahim YoldaÅŸ,
  • Abdul Haseeb,
  • Fatemah Mofarreh

DOI
https://doi.org/10.3390/axioms12020140
Journal volume & issue
Vol. 12, no. 2
p. 140

Abstract

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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.

Keywords