Caractérisation des ellipsoïdes par leurs groupes d'automorphismes

DOI10.1016/S0012-9593(02)01103-5zbMath1040.32021OpenAlexW2159588324MaRDI QIDQ4800371

Edith Socié-Méthou

Publication date: 3 April 2003

Published in: Annales Scientifiques de l’École Normale Supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_2002_4_35_4_537_0

zbMATH Keywords

ellipsoidautomorphisms of strongly convex bodies

Mathematics Subject Classification ID

Complex Lie groups, group actions on complex spaces (32M05) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (9)

An analogue of the squeezing function for projective maps ⋮ Geometrical finiteness in Hilbert geometry ⋮ Entropy rigidity for finite volume strictly convex projective manifolds ⋮ Characteristic properties of ellipsoids and convex quadrics ⋮ Rigidity of complex convex divisible sets ⋮ On the Hilbert geometry of products ⋮ Lipschitz characterisation of polytopal Hilbert geometries ⋮ Bas du spectre et delta-hyperbolicité en géométrie de Hilbert plane ⋮ On convex projective manifolds and cusps

Cites Work

• Convex real projective structures on compact surfaces
• Groups of integral representation type
• Characterization of the unit ball in \(\mathbb{C}^n\) by its automorphism group
• Automorphisms of convex cones
• Sur les variétés localement affines et localement projectives
• Geometry. I, II. Transl. from the French by M. Cole and S. Levy
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