Semi-Riemannian hypersurfaces in Ln+1 with a totally geodesic foliation of codimension one

被引：0
|
作者：
Kashani, S. M. B. [1 ]
Vanaei, M. J. [1 ]
Yaghoobi, S. M. [1 ]
机构：
[1] Tarbiat Modares Univ, Fac Math Sci, Dept Pure Math, POB 14115-134, Tehran, Iran
来源：
JOURNAL OF GEOMETRY | 2019年 / 110卷 / 02期
关键词：
Minkowski space; semi-Riemannian hypersurface; totally geodesic foliation; partial tube; relative nullity;
D O I：
10.1007/s00022-019-0477-z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We classify hypersurfaces of the Minkowski space Ln+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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