Recognizable classification of Lorentzian distance-squared mappings

被引:9
|
作者
Ichiki, Shunsuke [1 ]
Nishimura, Takashi [2 ]
机构
[1] Yokohama Natl Univ, Grad Sch Environm & Informat Sci, Yokohama, Kanagawa 2408501, Japan
[2] Yokohama Natl Univ, Res Inst Environm & Informat Sci, Res Grp Math Sci, Yokohama, Kanagawa 2408501, Japan
关键词
Lorentzian distance-squared mapping; Distance-squared mapping; Recognition subspace; Definite fold mapping; Lorentzian indefinite fold mapping; LIGHT-LIKE HYPERSURFACES; SPACELIKE SUBMANIFOLDS; MINKOWSKI; 3-SPACE; CODIMENSION; SURFACES; SINGULARITIES; MAPS; TIME;
D O I
10.1016/j.geomphys.2014.03.005
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The Lorentzian length, which is one of the most significant functions in Lorentzian geometry, is a complex-valued function. Its square gives a real-valued non-degenerate quadratic function. In this paper, we define naturally extended mappings of Lorentzian distance-squared functions, wherein each component is a Lorentzian distance-squared function; and classify these mappings completely by the likeness of recognition subspaces. (C) 2014 Elsevier B.V. All rights reserved.
引用
收藏
页码:62 / 71
页数:10
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