Manfredo do Carmo, Maria Fernanda Elbert
Published 2015-12-15Version 1
We prove that strong finite total curvature complete hypersurfaces of (n+1)-euclidean space are proper and diffeomorphic to a compact manifold minus finitely many points. With an additional condition, we also prove that the Gauss map of such hypersurfaces extends continuously to the punctures.
Stable hypersurfaces with constant scalar curvature in Euclidean spaces
On Generalized Spherical Surfaces in Euclidean Spaces
On minimal hypersurfaces in Euclidean spaces and Riemannian manifolds
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