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Affine complete locally convex hypersurfaces

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Trudinger, Neil; Wang, Xu-Jia

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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

dc.contributor.authorTrudinger, Neil
dc.contributor.authorWang, Xu-Jia
dc.date.accessioned2015-12-13T22:19:31Z
dc.identifier.issn0020-9910
dc.identifier.urihttp://hdl.handle.net/1885/71839
dc.description.abstractAn 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
dc.publisherSpringer
dc.sourceInventiones Mathematicae
dc.titleAffine complete locally convex hypersurfaces
dc.typeJournal article
local.description.notesImported from ARIES
local.description.refereedYes
local.identifier.citationvolume150
dc.date.issued2002
local.identifier.absfor010102 - Algebraic and Differential Geometry
local.identifier.ariespublicationMigratedxPub2908
local.type.statusPublished Version
local.contributor.affiliationTrudinger, Neil, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationWang, Xu-Jia, College of Physical and Mathematical Sciences, ANU
local.description.embargo2037-12-31
local.bibliographicCitation.startpage45
local.bibliographicCitation.lastpage60
local.identifier.doi10.1007/s00222-002-0229-8
dc.date.updated2015-12-11T07:48:09Z
local.identifier.scopusID2-s2.0-0036026042
CollectionsANU Research Publications

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