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Affine complete locally convex hypersurfaces

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Date

2002

Authors

Trudinger, Neil
Wang, Xu-Jia

Journal Title

Journal ISSN

Volume Title

Publisher

Springer

Abstract

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

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Keywords

Citation

URI

http://hdl.handle.net/1885/71839

Collections

ANU Research Publications

Source

Inventiones Mathematicae

Type

Journal article

Book Title

Entity type

Access Statement

License Rights

DOI

10.1007/s00222-002-0229-8

Restricted until

2037-12-31

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