Centroaffine surfaces of cohomogeneity one

DOI10.1007/s00574-018-0120-xzbMath1427.53007OpenAlexW2892938167MaRDI QIDQ2423451

Hitoshi Furuhata, Atsushi Fujioka

Publication date: 20 June 2019

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00574-018-0120-x

zbMATH Keywords

cohomogeneity oneproper affine spheresrotation surfacescentroaffine minimal surfaces

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Affine differential geometry (53A15)

Related Items (1)

Centroaffine surfaces of cohomogeneity one with planar curvature lines

Cites Work

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• The center map of an affine immersion
• Flat affine spheres in \(R^ 3\)
• Hyperbolic surfaces in centro-affine geometry: integrability and discretization
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• Centroaffine minimal hypersurfaces in \(\mathbb{R}^{n+1}\)
• Affine rotational surfaces with vanishing affine curvature
• On generalized affine rotation surfaces
• The centroaffine Tchebychev operator
• Centroaffine geometry of equiaffine rotation surfaces in \(\mathbb R^3\)
• Centroaffine minimal surfaces with non-semisimple centroaffine Tchebychev operator

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