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Einstein half lightlike submanifolds with a Killing co-screen distribution. (English) Zbl 1180.53019

Summary: We study the geometry of codimension 2 screen conformal Einstein half light-like submanifolds \(M\) of a semi-Riemannian manifold \((\overline M(c), \overline g)\) of constant curvature \(c\), with a Killing co-screen distribution on \(\overline M\). The main result is a classification theorem for screen homothetic Einstein half light-like submanifold of Lorentzian space forms.

MSC:

53B25 Local submanifolds
53C40 Global submanifolds
53C50 Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics
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