RICCI SOLITONS AS LIGHTLIKE HYPERSURFACES ENDOWED WITH A CONCIRCULAR VECTOR FIELD

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Arfah Arfah, Gül Tug

2025 Communications of the Korean Mathematical Society Vol. 40 Issue 1 Article Cited by 0 Quartile

Abstract

In this study, we investigate some properties of the lightlike hypersurfaces endowed with a concircular vector field. We give some conditions related to them for being a Ricci soliton. Also, we give some equations related to such hypersurfaces in an (n + 2)-dimensional semi-Riemannian manifold with constant curvature. Lastly, we calculate the principal curvatures of a screen homothetic lightlike hypersurface which is also a Ricci soliton. © 2025 Korean Mathematical Society

Affiliations

Department of Mathematics, State University of Makassar, Makassar, 90224, Indonesia; Department of Mathematics, Karedeniz Technical University, Trabzon, 61080, Türkiye