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/