Geometry of almost contact metrics as a ∗-conformal Ricci-Yamabe solitons and related results


Dey S., Roy S., Karaca F.

International Journal of Geometric Methods in Modern Physics, vol.20, no.9, 2023 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 20 Issue: 9
  • Publication Date: 2023
  • Doi Number: 10.1142/s0219887823501463
  • Journal Name: International Journal of Geometric Methods in Modern Physics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Metadex, zbMATH, Civil Engineering Abstracts
  • Keywords: a ∗-conformal Ricci-Yamabe soliton, conformal Killing vector field, Kenmotsu manifold, Ricci-Yamabe soliton, torse-forming vector field
  • Yıldız Technical University Affiliated: No

Abstract

The goal of this paper is to study certain types of metric such as a ∗-conformal Ricci-Yamabe soliton (RYS), whose potential vector field is torse-forming on Kenmotsu manifold. Here, we establish the conditions for solitons to be expanding, shrinking or steady and find the scalar curvature when the manifold admits a ∗-conformal RYS on Kenmotsu manifold. Next, we developed the nature of the vector field when the manifold satisfies a ∗-conformal RYS. Also, we have adorned some applications of torse-forming vector field in terms of a ∗-conformal RYS on Kenmotsu manifold. We have also studied infinitesimal CL-transformation and Schouten-van Kampen connection on Kenmotsu manifold, whose metric is a ∗-conformal RYS. We present an example of a ∗-conformal RYS on three-dimensional Kenmotsu manifold, and verify some of our findings.