The classification of 3-dimensional quasi-umbilical locally homogeneous Blaschke hypersurfaces

DOI10.1016/j.difgeo.2006.05.006zbMath1127.53007OpenAlexW1980296303WikidataQ115357833 ScholiaQ115357833MaRDI QIDQ884014

Masahiro Ooguri

Publication date: 13 June 2007

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2006.05.006

zbMATH Keywords

Blaschke metricquasi-umbilicdiagonalizable shape operator

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Affine differential geometry (53A15)

Related Items (4)

Three-dimensional locally homogeneous Lorentzian affine hyperspheres with constant sectional curvature ⋮ On quasi-umbilical locally strongly convex homogeneous affine hypersurfaces ⋮ The classification of 3-dimensional Lorentzian affine hypersurfaces with parallel cubic form ⋮ On hypersurfaces satisfying conditions determined by the Opozda–Verstraelen affine curvature tensor

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Matrices and indefinite scalar products
• A new model of unimodular-affinely homogeneous surfaces
• The classification of 3-dimensional locally strongly convex homogeneous affine hypersurfaces
• Homogeneous affine hypersurfaces with rank one shape operators
• Calabi-type composition of affine spheres
• Affine isoparametric hypersurfaces
• On Cartan's identities of equiaffine isoparametric hypersurfaces
• Equivalence theorems in affine differential geometry
• Quasi-umbilical, locally strongly convex homogeneous affine hypersurfaces
• Homogeneous surfaces in the three-dimensional projective geometry

This page was built for publication: The classification of 3-dimensional quasi-umbilical locally homogeneous Blaschke hypersurfaces