The geometry of lightlike hypersurfaces of the de Sitter space

被引：5
作者：
Akivis, MA
Goldberg, VV
机构：
[1] Jerusalem Coll Technol Mahon Lev, Dept Math, IL-91160 Jerusalem, Israel
[2] New Jersey Inst Technol, Dept Math, Newark, NJ 07102 USA
来源：
ACTA APPLICANDAE MATHEMATICAE | 1998年 / 53卷 / 03期
关键词：
lightlike hypersurface; de Sitter space; invariant normalization; screen distribution; singularity; affine connection;
D O I：
10.1023/A:1006062604176
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
It is proved that the geometry of lightlike hypersurfaces of the de Sitter space S-1(n+1) is directly connected with the geometry of hypersurfaces of the conformal space C-n. This connection is applied for a construction of an invariant normalization and an invariant affine connection of lightlike hypersurfaces as well as for studying singularities of lightlike hypersurfaces.
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页码：297 / 328
页数：32
相关论文
共 15 条
  • [1] Akivis M. A., 1952, MAT SBORNIK, V31, P43
  • [2] Akivis M. A., 1961, MAT SBORNIK, V53, P53
  • [3] AKIVIS MA, 1998, BEITRAGE ALGEBRA GEO, V39, P396
  • [4] AKIVIS MA, 1993, PROJECTIVE DIFFERENT
  • [5] AKIVIS MA, 1965, USP MAT NAUK, V20, P177
  • [6] AKIVIS MA, 1965, GEOMETRY 1963, P108
  • [7] AKIVIS MA, 1963, SOV MATH DOKL, V4, P529
  • [8] [Anonymous], 1996, CONFORMAL DIFFERENTI
  • [9] CASANOVA G, 1950, REV MATH SPEC, V65, P437
  • [10] Duggal K. L., 1996, Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications, V364
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