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η-Ricci--Yamabe and *-η-Ricci--Yamabe solitons in Lorentzian para-Kenmotsu manifolds

  • Rajendra Prasad , Abdul Haseeb EMAIL logo and Vinay Kumar
Published/Copyright: March 26, 2024

Abstract

The main purpose of this paper is to study η-Ricci–Yamabe solitons (η-RYS) and * -η-Ricci–Yamabe solitons ( * -η-RYS) in Lorentzian para-Kenmotsu n-manifolds (briefly, ( LPK ) n ). We study the curvature condition R . S = 0 and the cyclic parallel Ricci tensor in ( LPK ) n admitting η-RYS. Furthermore, we study M-projectively flat and quasi-M-projectively flat Lorentzian para-Kenmotsu manifolds admitting * -η-RYS. Finally, we give two examples of Lorentzian para-Kenmotsu manifolds admitting η-RYS and * -η-RYS to verify some of our results.

MSC 2020: 53C05; 53C20; 53C25

Acknowledgements

The authors are thankful to the Editor and anonymous referees for their valuable suggestions towards the improvement of the paper.

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Received: 2023-05-11
Revised: 2024-03-11
Accepted: 2024-03-15
Published Online: 2024-03-26
Published in Print: 2024-11-01

© 2024 Walter de Gruyter GmbH, Berlin/Boston

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