Complete hypersurfaces in Euclidean spaces with strong finite total curvature
classification
🧮 math.DG
keywords
hypersurfacescompletecurvatureeuclideanfiniteprovestrongtotal
read the original abstract
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.
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