η-Ricci--Yamabe and *-η-Ricci--Yamabe solitons in Lorentzian para-Kenmotsu manifolds-Reference-Cited by-同舟云学术

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

Author:

Prasad Rajendra¹,Haseeb Abdul²,Kumar Vinay¹

Affiliation:

1. Department of Mathematics and Astronomy , [ 123538]University of Lucknow, Lucknow - 226007 , India

2. Department of Mathematics , College of Science , [ 248392]Jazan University, P. O. Box 114 , Jazan - 45142 , Kingdom of Saudi Arabia

Abstract

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

{(\mathrm{LPK})_{n}}

). We study the curvature condition R . S = 0

{R.S=0}

and the cyclic parallel Ricci tensor in ( LPK ) n

{(\mathrm{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.

Publisher

Walter de Gruyter GmbH

Link

Reference29 articles.

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