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arXiv · 1810.06016

Semi-Riemannian hypersurfaces in $\mathbb{L}^{n+1}$ with a totally geodesic foliation of codimension one

S. M. B. Kashani·M. J. Vanaei·S. M. Yaghoobi
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Abstract

We classify hypersurfaces of the Minkowski space $\L^{n+1}$ 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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S. M. B. Kashani, M. J. Vanaei, S. M. Yaghoobi. 2018-10-14. Semi-Riemannian hypersurfaces in $\mathbb{L}^{n+1}$ with a totally geodesic foliation of codimension one. https://arxiv.org/abs/1810.06016

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