Semi-Riemannian hypersurfaces in Ln+1 with a totally geodesic foliation of codimension one
Abstract
We classify hypersurfaces of the Minkowski space n+1 that carry a totally geodesic foliation with complete leaves of codimension one. We prove that such a hypersurface is ruled, or a partial tube over a curve or contains a two or three dimensional strip. Moreover, if the hypersurface is embedded then it is a partial tube over a curve.
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