Spacelike submanifolds of codimension two in de Sitter space

被引:12
作者
Kasedou, Masaki [1 ]
机构
[1] Hokkaido Univ, Dept Math, Kita Ku, Sapporo, Hokkaido 0600810, Japan
关键词
de Sitter space; Gauss map; Space like submanifold; Lightlike hypersurface; SINGULARITIES;
D O I
10.1016/j.geomphys.2009.08.005
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We investigate the differential geometry of spacelike submanifolds of codimension two in de Sitter space and classify the singularities of lightlike hypersurfaces and lightcone Gauss maps in de Sitter 4-space. (C) 2009 Elsevier B.V. All rights reserved.
引用
收藏
页码:31 / 42
页数:12
相关论文
共 10 条
[1]  
ARNOLD V. I., 1986, Singularities of Differentiable Maps, VI
[2]   Lightlike surfaces of spacelike curves in de Sitter 3-space [J].
Fusho, Takesi ;
Izumiya, Shyuichi .
JOURNAL OF GEOMETRY, 2008, 88 (1-2) :19-29
[3]   Singularities of lightlike hypersurfaces in Minkowskifour-space [J].
Izumiya, S ;
Kossowski, M ;
Pei, DH ;
Fuster, MCR .
TOHOKU MATHEMATICAL JOURNAL, 2006, 58 (01) :71-88
[4]   Singularities of hyperbolic Gauss maps [J].
Izumiya, S ;
Pei, DH ;
Sano, T .
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 2003, 86 :485-512
[5]   The lightlike flat geometry on spacelike submanifolds of codimension two in Minkowski space [J].
Izumiya, Shyuichi ;
del Carmen Romero Fuster, Maria .
SELECTA MATHEMATICA-NEW SERIES, 2007, 13 (01) :23-55
[6]   Singularities of lightcone Gauss images of spacelike hypersurfaces in de Sitter space [J].
Kasedou M. .
Journal of Geometry, 2009, 94 (1-2) :107-121
[7]  
MONTALDI JA, 1986, MICH MATH J, V33, P195
[8]   STABILITY OF CAUSTICS [J].
WASSERMANN, G .
MATHEMATISCHE ANNALEN, 1975, 216 (01) :43-50
[9]  
ZAKALYUKIN V. M., 1984, J SOVIET MATH, V27, P2713
[10]  
ZAKALYUKIN VM, 1976, FUNCTIONAL ANAL APPL, V10, P26