Closed Convex Hypersurfaces with Second Fundamental Form of Constant Curvature
Work
Year: 1972
Type: article
Abstract: It is shown that the Euclidean spheres are the only closed hypersurfaces in Euclidean space on which the second fundamental form defines a (nondegenerate) Riemannian metric of constant curvature.
Author Rolf Schneider
Cites:
Cited by: 14
Related to: 10
FWCI: 0.973
Citation percentile (by year/subfield): 73.78
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze