REGULARITY OF LORENTZIAN BUSEMANN FUNCTIONS

Authors
GALLOWAY GJ HORTA A
Citation
Gj. Galloway et A. Horta, REGULARITY OF LORENTZIAN BUSEMANN FUNCTIONS, Transactions of the American Mathematical Society, 348(5), 1996, pp. 2063-2084
Citations number
27
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Transactions of the American Mathematical Society → ACNP
ISSN journal
00029947
Volume
348
Issue
5
Year of publication
1996
Pages
2063 - 2084
Database
ISI
SICI code
0002-9947(1996)348:5<2063:ROLBF>2.0.ZU;2-L
Abstract
A general theory of regularity for Lorentzian Busemann functions in fu ture timelike geodesically complete spacetimes is presented. This trea tment simplifies and extends the local regularity developed by Eschenb urg, Galloway and Newman to prove the Lorentzian splitting theorem. Cr iteria for global regularity are obtained and used to improve results in the literature pertaining to a conjecture of Bartnik.