A CHARACTERIZATION OF THE MEAN-CURVATURE FUNCTIONS OF CODIMENSION-ONEFOLIATIONS

Authors
OSHIKIRI G
Citation
G. Oshikiri, A CHARACTERIZATION OF THE MEAN-CURVATURE FUNCTIONS OF CODIMENSION-ONEFOLIATIONS, Tohoku Mathematical Journal, 49(4), 1997, pp. 557-563
Citations number
8
Journal title
Tohoku Mathematical Journal → ACNP
ISSN journal
00408735
Volume
49
Issue
4
Year of publication
1997
Pages
557 - 563
Database
ISI
SICI code
0040-8735(1997)49:4<557:ACOTMF>2.0.ZU;2-F
Abstract
Walczak posed a problem on the characterization of the mean curvature functions of codimension-one foliations. An affirmative answer to this problem is given here. As an application, we get a simpler proof of t he topological characterization, due to the author, of codimension-one foliations consisting of constant mean curvature hypersurfaces.