Generalized $ * $-Ricci soliton on Kenmotsu manifolds

Yanlin Li; Shahroud Azami; Yanlin Li; Shahroud Azami

doi:10.3934/math.2025326

AIMS Mathematics

2025, Volume 10, Issue 3: 7144-7153. doi: 10.3934/math.2025326

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Research article

Generalized $ * $-Ricci soliton on Kenmotsu manifolds

Yanlin Li ¹,
Shahroud Azami ^{2
,
,}

1.
School of Mathematics, Hangzhou Normal University, Hangzhou 311121, China
2.
Department of pure Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, Iran

Received: 05 December 2024 Revised: 17 March 2025 Accepted: 17 March 2025 Published: 28 March 2025
MSC : 53C15, 53C25, 53C44, 53D10

In the present paper, we examine generalized $ * $-Ricci solitons on Kenmotsu manifolds. To illustrate our findings, we present an example of a five-dimensional Kenmotsu manifold that admits the generalized $ * $-Ricci soliton.
- generalized $ * $-Ricci solitons,
- Einstein manifolds,
- Kenmotsu manifolds
Citation: Yanlin Li, Shahroud Azami. Generalized $ * $-Ricci soliton on Kenmotsu manifolds[J]. AIMS Mathematics, 2025, 10(3): 7144-7153. doi: 10.3934/math.2025326

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Abstract

In the present paper, we examine generalized $ * $-Ricci solitons on Kenmotsu manifolds. To illustrate our findings, we present an example of a five-dimensional Kenmotsu manifold that admits the generalized $ * $-Ricci soliton.

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