Isotropic affine spheres

DOI10.1007/s10114-012-0264-3zbMath1261.53010OpenAlexW2077264060MaRDI QIDQ1928119

Olivier Birembaux, Mirjana Djoric

Publication date: 2 January 2013

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-012-0264-3

zbMATH Keywords

symmetric spaceisotropycubic formexceptional Lie groupoctonionsaffine sphereDarboux tensor

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Differential geometry of symmetric spaces (53C35) Local submanifolds (53B25) Affine differential geometry (53A15)

Related Items (19)

Pseudo-isotropic Lorentzian centroaffine hypersurfaces 1 ⋮ On product affine hyperspheres in \(\mathbb{R}^{n+1}\) ⋮ On Lorentzian Einstein affine hyperspheres ⋮ Pseudo-isotropic Lorentzian centroaffine hypersurfaces 2 ⋮ Classification of the locally strongly convex centroaffine hypersurfaces with parallel cubic form ⋮ Pseudo-isotropic Calabi hypersurfaces of dimension 3 ⋮ Conformally flat affine hypersurfaces with semi-parallel cubic form ⋮ Locally strongly convex affine hypersurfaces with semi-parallel cubic form ⋮ Multiple product affine hypersurfaces with semi-parallel cubic form ⋮ Classification of locally strongly convex isotropic centroaffine hypersurfaces ⋮ On conformally flat affine hypersurfaces with pseudo-parallel cubic form ⋮ Isotropic affine hypersurfaces of dimension 5 ⋮ On the equiaffine symmetric hyperspheres ⋮ On four-dimensional Einstein affine hyperspheres ⋮ On locally strongly convex affine hyperspheres realizing Chen's equality ⋮ Lightlike pseudo-isotropic centroaffine Lorentzian hypersurfaces of dimension 3 ⋮ Lightlike pseudo-isotropic Lorentzian Calabi surfaces and ruled surfaces ⋮ Classification of isotropic Calabi hypersurfaces ⋮ On the isolation phenomena of Einstein manifolds—submanifolds versions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Locally strongly convex affine hypersurfaces with parallel cubic form
• Isotropic totally real submanifolds
• Isotropic submanifolds with parallel second fundamental form in \(P^ m(\)c)
• Planar geodesic immersions
• Totally Real Minimal Submanifolds in a Complex Projective Space
• Hyperbolic affine hyperspheres
• The octonions

This page was built for publication: Isotropic affine spheres