Hypersurfaces with constant curvature in ${\Bbb R}^{n+1}$
Volume 57 / 2002
Banach Center Publications 57 (2002), 101-108
MSC: Primary 53A05, 53A07
DOI: 10.4064/bc57-0-7
Abstract
We give some optimal estimates of the height, curvature and volume of compact hypersurfaces in ${\Bbb R}^{n+1}$ with constant curvature bounding a planar closed $(n-1)$-submanifold.
