학술논문
Some Results about the Level Sets of Lorentzian Busemann Function and Bartnik’s Conjecture.
Document Type
Article
Author
Source
Subject
*HYPERSURFACES
*METRIC spaces
*RIEMANNIAN manifolds
*GEODESICS
*LINE geometry
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Language
ISSN
0010-3616
Abstract
Some results about the level sets of Busemann functions are obtained for spacetimes, and in a special case (cosmological spacetime). These results will be used to prove the conjecture stated by R. Bartnik in [B], under some special conditions. In this paper we employ some results of Galloway, Horta and Eschenburg. [ABSTRACT FROM AUTHOR]