4.6 Article

Conformal η-Ricci solitons within the framework of indefinite Kenmotsu manifolds

Journal

AIMS MATHEMATICS
Volume 7, Issue 4, Pages 5408-5430

Publisher

AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/math.2022300

Keywords

Ricci soliton; conformal Ricci soliton; conformal eta-Ricci soliton; epsilon-Kenmotsu manifold; concircular curvature tensor; codazzi type Ricci tensor

Funding

  1. National Natural Science Foundation of China [12101168]
  2. Zhejiang Provincial Natural Science Foundation of China [LQ22A010014]
  3. National Board for Higher Mathematics (NBHM), India [0203/11/2017/RD-II/10440]

Ask authors/readers for more resources

This paper discusses the class of epsilon-Kenmotsu manifolds that have conformal eta-Ricci solitons. It studies the special types of Ricci tensor associated with conformal eta-Ricci solitons on epsilon-Kenmotsu manifolds. Additionally, it investigates curvature conditions that allow for conformal eta-Ricci solitons on epsilon-Kenmotsu manifolds. Furthermore, the paper presents a characterization of the potential function for gradient conformal eta-Ricci solitons. Lastly, an illustrative example is provided to demonstrate the existence of conformal eta-Ricci solitons on eta-Kenmotsu manifolds.
The present paper is to deliberate the class of epsilon-Kenmotsu manifolds which admits conformal eta-Ricci soliton. Here, we study some special types of Ricci tensor in connection with the conformal eta-Ricci soliton of epsilon-Kenmotsu manifolds. Moving further, we investigate some curvature conditions admitting conformal eta-Ricci solitons on epsilon-Kenmotsu manifolds. Next, we consider gradient conformal eta-Ricci solitons and we present a characterization of the potential function. Finally, we develop an illustrative example for the existence of conformal eta-Ricci soliton on eta-Kenmotsu manifold.

Authors

I am an author on this paper
Click your name to claim this paper and add it to your profile.

Reviews

Primary Rating

4.6
Not enough ratings

Secondary Ratings

Novelty
-
Significance
-
Scientific rigor
-
Rate this paper

Recommended

No Data Available
No Data Available