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Hypersurfaces with constant curvature in $ℝ^{n + 1}$

J. A. Gálvez; A. Martínez — 2002

Banach Center Publications

We give some optimal estimates of the height, curvature and volume of compact hypersurfaces in $ℝ^{n + 1}$ with constant curvature bounding a planar closed (n-1)-submanifold.

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Hypersurfaces with constant curvature in ℝ n + 1

Hypersurfaces with constant curvature in $ℝ^{n + 1}$