Geodesic
Quasi-Yamabe solitons and almost quasi-Yamabe solitons on lightlike hypersurfaces
Filomat, Tome 36 (2022) no. 4, p. 1203

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DOI

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
DOI : 10.2298/FIL2204203A
Classification : 53C50, 53C25
Keywords: lightlike hypersurface, torse-forming vector field, screen homothetic, quasi-Yamabe soliton, almost quasi-Yamabe soliton 
Arfah Arfah. Quasi-Yamabe solitons and almost quasi-Yamabe solitons on lightlike hypersurfaces. Filomat, Tome 36 (2022) no. 4, p. 1203 . doi: 10.2298/FIL2204203A
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     title = {Quasi-Yamabe solitons and almost {quasi-Yamabe} solitons on lightlike hypersurfaces},
     journal = {Filomat},
     pages = {1203 },
     year = {2022},
     volume = {36},
     number = {4},
     doi = {10.2298/FIL2204203A},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2204203A/}
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