ISOMETRIC IMMERSIONS INTO THE MINKOWSKI SPACETIME FOR LORENTZIAN MANIFOLDS WITH LIMITED REGULARITY

被引：4

作者：

Lefloch, Philippe G. ^{[1
]}

Mardare, Cristinel

Mardare, Sorin ^{[2
]}

机构：

[1] Univ Paris 06, Lab Jacques Louis Lions, F-75252 Paris, France

[2] Univ Zurich, Inst Math, Abt Angew Math, CH-8057 Zurich, Switzerland

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2009年 / 23卷 / 1-2期

基金：

瑞士国家科学基金会;

关键词：

Lorentzian manifold; Minkowski spacetime; isometric embedding; general hypersurface;

D O I：

10.3934/dcds.2009.23.341

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Assuming minimal regularity assumptions on the data, we revisit the classical problem of finding isometric immersions into the Minkowski space-time for hypersurfaces of a Lorentzian manifold. Our approach encompasses metrics having Sobolev regularity and Riemann curvature defined in the distributional sense, only. It applies to timelike, spacelike, or null hypersurfaces with arbitrary signature that possibly changes from point to point.

引用

页码：341 / 365

页数：25

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