Totally umbilic hypersurfaces
type: Item
instance of: scholarly article
title: Totally umbilic hypersurfaces
zbMATH Open document ID: 0711.53045
author: Hisao Nakagawa
author: Qing-Ming Cheng
published in: Hiroshima Mathematical Journal
publication date: 1990-01-01T00:00:00Z
review text: Let M be a complete hypersurface with constant mean curvature of a space form of index s \((=0\) or 1). A sufficient condition, which is established between the length of the second fundamental form and the mean curvature, is given for M to be totally umbilical. This result generalizes the reviewer's result [Proc. Am. Math. Soc. 81, 447-450 (1981; Zbl 0461.53032)].
Mathematics Subject Classification ID: 53C40
zbMATH DE Number: 4169608
zbMATH Keywords: constant mean curvature
zbMATH Keywords: second fundamental form
zbMATH Keywords: totally umbilical
reviewed by: Thomas Hasanis
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4169608