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math.DG2015★ 1 cited
Complete hypersurfaces in Euclidean spaces with strong finite total curvature
Manfredo do Carmo, Maria Fernanda Elbert
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 a…
math.DG2015
Hypersurfaces with H_{r+1}=0 in H x R
Maria Fernanda Elbert, Barbara Nelli, Walcy Santos
We prove the existence of rotational hypersurfaces in with and we classify them. Then we prove some uniqueness theorems for -minimal…