We give some optimal estimates of the height, curvature and volume of compact hypersurfaces in with constant curvature bounding a planar closed (n-1)-submanifold.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc57-0-7,
author = {J. A. G\'alvez and A. Mart\'\i nez},
title = {Hypersurfaces with constant curvature in $$\mathbb{R}$^{n+1}$
},
journal = {Banach Center Publications},
volume = {58},
year = {2002},
pages = {101-108},
zbl = {1028.53001},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc57-0-7}
}
J. A. Gálvez; A. Martínez. Hypersurfaces with constant curvature in $ℝ^{n+1}$
. Banach Center Publications, Tome 58 (2002) pp. 101-108. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc57-0-7/