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Affine complete locally convex hypersurfaces

Trudinger, Neil; Wang, Xu-Jia


An open problem in affine geometry is whether an affine complete locally uniformly convex hypersurface in Euclidean (n + 1)-space is Euclidean complete for n ≥ 2. In this paper we give the affirmative answer. As an application, it follows that an affine

CollectionsANU Research Publications
Date published: 2002
Type: Journal article
Source: Inventiones Mathematicae
DOI: 10.1007/s00222-002-0229-8


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