Centroaffine minimal surfaces whose centroaffine curvature and Pick function are constants

DOI10.1016/j.jmaa.2009.12.002zbMath1193.53011OpenAlexW2151226566MaRDI QIDQ2267489

Atsushi Fujioka

Publication date: 1 March 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.12.002

zbMATH Keywords

Pick functioncentroaffine surfacecentroaffine Euler-Lagrange equation

Mathematics Subject Classification ID

Affine differential geometry (53A15)

Related Items (5)

Centroaffine surfaces with parallel or recurrent cubic form relative to the induced connection ⋮ Linear Weingarten centroaffine translation surfaces in \(\mathbb R^3\) ⋮ On conformally flat centroaffine hypersurfaces with semi-parallel cubic form ⋮ Projective minimality for centroaffine minimal surfaces ⋮ Centroaffine geometry of equiaffine rotation surfaces in \(\mathbb R^3\)

Cites Work

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• The center map of an affine immersion
• Indefinite centroaffine surfaces with vanishing generalized Pick function
• Flat affine spheres in \(R^ 3\)
• Hyperbolic surfaces in centro-affine geometry: integrability and discretization
• Local classification of twodimensional affine spheres with constant curvature metric
• Centroaffine minimal hypersurfaces in \(\mathbb{R}^{n+1}\)
• The centroaffine Tchebychev operator
• Centroaffine minimal surfaces with non-semisimple centroaffine Tchebychev operator

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