Two-ended hypersurfaces with zero scalar curvature

Citation
J. Hounie et Ml. Leite, Two-ended hypersurfaces with zero scalar curvature, INDI MATH J, 48(3), 1999, pp. 867-882
Citations number
7
Categorie Soggetti
Mathematics
Journal title
INDIANA UNIVERSITY MATHEMATICS JOURNAL
ISSN journal
00222518 → ACNP
Volume
48
Issue
3
Year of publication
1999
Pages
867 - 882
Database
ISI
SICI code
0022-2518(199923)48:3<867:THWZSC>2.0.ZU;2-U
Abstract
In many ways hypersurfaces with null r-th curvature function H-r behave muc h like the minimal ones (H-1 = 0). One such manifestation is the following result to be proved in this paper, which extends to scalar-flat hypersurfac es (H-2 = 0) a well-known theorem of R. Schoen.