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Commun. Korean Math. Soc. 2025; 40(1): 195-207
Online first article January 17, 2025 Printed January 31, 2025
https://doi.org/10.4134/CKMS.c230227
Copyright © The Korean Mathematical Society.
Ricci solitons as lightlike hypersurfaces endowed with a concircular vector field
Arfah Arfah 
; Gül TUĞ
State University of Makassar; Karedeniz Technical University
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.
Keywords: Lightlike hypersurface, concircular vector field, Ricci soliton, screen homothetic, principal curvature
MSC numbers: Primary 53C50, 53C25; Secondary 53C25, 35C08
Supported by: This work was financially supported by Turkiye Scholarships by the Government of Turkey.
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