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

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2014年 / 81卷

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

页码：62 / 71

页数：10

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