Jin, Dae Ho The curvature of half lightlike submanifolds of a semi-Riemannian manifold of quasi-constant curvature. (English) Zbl 1271.53019 J. Korean Soc. Math. Educ., Ser. B, Pure Appl. Math. 19, No. 4, 327-335 (2012). Summary: We study half light-like submanifolds \(M\) of semi-Riemannian manifolds \(\widetilde M\) of quasi-constant curvatures. The main result is a characterization theorem for screen homothetic Einstein half light-like submanifolds of a Lorentzian manifold of quasi-constant curvature subject to the conditions; (1) the curvature vector field of \(\widetilde M\) is tangent to \(M\), and (2) the co-screen distribution is a conformal Killing one. MSC: 53B25 Local submanifolds 53B30 Local differential geometry of Lorentz metrics, indefinite metrics Keywords:screen homothetic; conformal Killing distribution; half light-like submanifold; semi-Riemannian manifold of quasi-constant curvature × Cite Format Result Cite Review PDF Full Text: DOI