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