Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2024; 39(1): 175-186

Online first article January 25, 2024      Printed January 31, 2024

https://doi.org/10.4134/CKMS.c230086

Copyright © The Korean Mathematical Society.

Generalized $\eta$-Ricci solitons on para-Kenmotsu manifolds associated to the Zamkovoy connection

Shahroud azami

Imam Khomeini International University

Abstract

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In this paper, we study para-Kenmotsu manifolds admitting generalized $\eta$-Ricci solitons associated to the Zamkovoy connection. We provide an example of generalized $\eta$-Ricci soliton on a para-Kenmotsu manifold to prove our results.

Keywords: Para-Kenmotsu manifolds, generalized $\eta$-Ricci soliton, Zamkovoy connection

MSC numbers: 53C25, 53D15, 53E20

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