On locally strongly convex affine hypersurfaces with parallel cubic form. I
type: Item
instance of: scholarly article
title: On locally strongly convex affine hypersurfaces with parallel cubic form. I
zbMATH Open document ID: 1262.53008
author: Haizhong Li
author: Udo Simon
author: Luc Vrancken
author: Zejun Hu
published in: Differential Geometry and its Applications
publication date: 2009-04-16T00:00:00Z
Mathematics Subject Classification ID: 53A15
Mathematics Subject Classification ID: 53C40
zbMATH DE Number: 5544179
zbMATH Keywords: affine hyperspheres
zbMATH Keywords: parallel cubic pick form
zbMATH Keywords: Einstein Blaschke metric
MaRDI profile type: Publication
full work available at URL: j.difgeo.2008.10.005
OpenAlex ID: W2020365315
Wikidata QID: Q115357410
cites work: Affine hypersurfaces with parallel cubic forms
cites work: Q5665858
cites work: Equivalence theorems in affine differential geometry
cites work: 3-dimensional affine hypersurfaces in ℝ4 with parallel cubic form
cites work: Calabi-type composition of affine spheres
cites work: Q3840724
cites work: Affine hypersurfaces with parallel cubic form
cites work: On affine hypersurfaces with parallel second fundamental form.
cites work: Classification of five dimensional hypersurfaces with affine normal parallel cubic form
cites work: Characterizations of the Calabi product of hyperbolic affine hyperspheres
cites work: Q5731354
cites work: Q5565587
cites work: Global affine differential geometry of hypersurfaces
cites work: On affine surfaces whose cubic forms are parallel relative to the affine metric
cites work: On the geometry of affine immersions
cites work: Cayley surfaces in affine differential geometry
cites work: Q4846450
cites work: Isotropic and Kähler Immersions
cites work: Hyperbolic affine hyperspheres
cites work: Indefinite affine hyperspheres admitting a pointwise symmetry. II
cites work: Indefinite affine hyperspheres admitting a pointwise symmetry. I
cites work: Q5445228
cites work: Local classification of twodimensional affine spheres with constant curvature metric
cites work: Affine higher order parallel hypersurfaces
cites work: 3-dimensional isotropic submanifolds of spheres
cites work: Affine surfaces with higher order parallel cubic form
cites work: The Magid-Ryan conjecture for equiaffine hyperspheres with constant sectional curvature.
cites work: Affine spheres with constant affine sectional curvature
DOI: 10.1016/J.DIFGEO.2008.10.005
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description: scientific article; zbMATH DE number 5544179