Citation
Yb. Shen et Xh. Zhu, ON STABLE COMPLETE MINIMAL HYPERSURFACES IN RN+1, American journal of mathematics, 120(1), 1998, pp. 103-116
Citations number
22
Categorie Soggetti
Mathematics,Mathematics
Journal title
ISSN journal
00029327
Volume
120
Issue
1
Year of publication
1998
Pages
103 - 116
Database
ISI
SICI code
0002-9327(1998)120:1<103:OSCMHI>2.0.ZU;2-4
Abstract
By using the interior curvature estimate and Gromov's compactness theo
rem, we prove that a stable complete minimal hypersurface in Rn+1 with
finite total scalar curvature must be a hyperplane. This extends the
result obtained by P. Berard in Remarques sur l'equation de J. Simons,
Pitman Monographs Surveys Pure Appl. Math., vol. 52, 1991, pp. 47-57.