THE CURVATURE OF HALF LIGHTLIKE SUBMANIFOLDS OF A SEMI-RIEMANNIAN MANIFOLD OF QUASI-CONSTANT CURVATURE
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초록
We study half lightlike submanifolds M of semi-Riemannian manifolds M of quasi-constant curvatures. The main result is a characterization theorem for screen homothetic Einstein half lightlike submanifolds of a Lorentzian manifold of quasi-constant curvature subject to the conditions; (1) the curvature vector field of M is tangent to M, and (2) the co-screen distribution is a conformal Killing one.
Abstract
We study half lightlike submanifolds M of semi-Riemannian manifolds M of quasi-constant curvatures. The main result is a characterization theorem for screen homothetic Einstein half lightlike submanifolds of a Lorentzian manifold of quasi-constant curvature subject to the conditions; (1) the curvature vector field of M is tangent to M, and (2) the co-screen distribution is a conformal Killing one.
참고문헌 (9)
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