Regularity of Lorentzian Busemann functions

被引：19
|
作者：
Galloway, GJ [1 ]
Horta, A [1 ]
机构：
[1] NATL SECUR AGCY,FT GEORGE G MEADE,MD 20755
来源：
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1996年 / 348卷 / 05期
关键词：
D O I：
10.1090/S0002-9947-96-01587-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A general theory of regularity for Lorentzian Busemann functions in future timelike geodesically complete spacetimes is presented. This treatment simplifies and extends the local regularity developed by Eschenburg, Galloway and Newman to prove the Lorentzian splitting theorem. Criteria for global regularity are obtained and used to improve results in the literature pertaining to a conjecture of Bartnik.
引用
收藏
页码：2063 / 2084
页数：22
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