Tohoku Mathematical Journal, Second Series
Online ISSN : 2186-585X
Print ISSN : 0040-8735
ISSN-L : 0040-8735
A CHARACTERIZATION OF THE MEAN CURVATURE FUNCTIONS OF CODIMENSION-ONE FOLIATIONS
GEN-ICHI OSHIKIRI
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1997 Volume 49 Issue 4 Pages 557-563

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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 the topological characterization, due to the author, of codimension-one foliations consisting of constant mean curvature hypersurfaces.
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