Quasi-Yamabe Solitons and Almost Quasi-Yamabe Solitons on Lightlike Hypersurfaces

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Arfah A.

Filomat, vol.36, no.4, pp.1203-1214, 2022 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 36 Issue: 4
  • Publication Date: 2022
  • Doi Number: 10.2298/fil2204203a
  • Journal Name: Filomat
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Page Numbers: pp.1203-1214
  • Keywords: lightlike hypersurface, torse-forming vector field, screen homothetic, quasi-Yamabe soliton, almost quasi-Yamabe soliton, CLASSIFICATION
  • Open Archive Collection: AVESIS Open Access Collection
  • Karadeniz Technical University Affiliated: Yes

Abstract

© 2022, University of Nis. All rights reserved.In the present paper, we study the quasi-Yamabe solitons and almost quasi-Yamabe solitons on the lightlike hypersurfaces of the semi-Riemannian manifolds endowed with a torse-forming vector field. We show some conditions for the lightlike hypersurfaces to be quasi-Yamabe solitons and almost quasi-Yamabe solitons with the tangential component of the torse-forming vector field on the semi-Riemannian manifolds as the soliton field. In particular, we also specify the conditions for lightlike hypersurfaces of (n + 2)-dimension semi-Riemannian manifolds of constant curvature to be quasi-Yamabe solitons and almost quasi-Yamabe solitons. Besides, we provide some geometric properties of the lightlike hypersurfaces satisfying quasi-Yamabe solitons, quasi-Yamabe gradient solitons, almost quasi-Yamabe solitons and almost quasi-Yamabe gradient solitons. Furthermore, we investigate properties of screen homothetic lightlike hypersurfaces admitting quasi-Yamabe solitons and almost quasi-Yamabe solitons.