Calabi conjecture on hyperbolic affine hyperspheres. II
type: Item
instance of: scholarly article
title: Calabi conjecture on hyperbolic affine hyperspheres. II
zbMATH Open document ID: 0781.53010
DOI: 10.1007/BF01444730
published in: Mathematische Annalen
publication date: 1993-03-03T00:00:00Z
full work available at URL: https://eudml.org/doc/164971
review text: It is proved that every locally convex, affine complete, hyperbolic affine hypersphere is Euclidean complete. With ``locally convex'' replaced by ``(globally) convex'', this result was proved earlier by the same author [Math. Z. 203, 483-491 (1990; Zbl 0696.53004)].
reviewed by: Rolf Schneider
Mathematics Subject Classification ID: 53A15
zbMATH DE Number: 126346
zbMATH Keywords: affine completeness
zbMATH Keywords: affine hypersphere
Wikidata QID: Q123180036
author: An-Min Li
MaRDI profile type: Publication
cites work: Q5665858
cites work: Complete affine hypersurfaces. Part I. The completeness of affine metrics
cites work: Calabi conjecture on hyperbolic affine hyperspheres
cites work: On a conjecture by E. Calabi
cites work: Hyperbolic affine hyperspheres
cites work: Hypersurfaces with constant equiaffine mean curvature
OpenAlex ID: W72634441
description: scientific article; zbMATH DE number 126346