A Bernstein property of affine maximal hypersurfaces

DOI10.1023/A:1023059523458zbMath1039.53017OpenAlexW1705259604MaRDI QIDQ1811012

Fang Jia, An-Min Li

Publication date: 9 June 2003

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1023059523458

zbMATH Keywords

symplectic geometryBlaschke metricBernstein propertyaffine maximal hypersurfaceHofer's Lemma

Mathematics Subject Classification ID

Affine differential geometry (53A15)

Related Items (18)

Centroaffine Bernstein problems ⋮ Extremal metrics on toric surfaces ⋮ Affine techniques on extremal metrics on toric surfaces ⋮ A Bernstein property of solutions to a class of prescribed affine mean curvature equations ⋮ A Bernstein theorem for the Abreu equation ⋮ Bernstein problem of affine maximal type hypersurfaces on dimension \(N \geq 3\) ⋮ A Bernstein theorem for affine maximal-type hypersurfaces ⋮ Stability of the graph of a convex function ⋮ The Bernstein theorem for a class of fourth order equations ⋮ Interior estimates for solutions of a fourth order nonlinear partial differential equation ⋮ A Bernstein property for F relative parabolic affine hyperspheres ⋮ Notes on Chern's affine Bernstein conjecture ⋮ Bernstein properties for \(\alpha\)-complete hypersurfaces ⋮ A Bernstein property of a class of fourth order complex partial differential equations ⋮ Locally strongly convex hypersurfaces with constant affine mean curvature ⋮ A Bernstein theorem for affine maximal type hypersurfaces under decaying convexity ⋮ The Bernstein problem for affine maximal type hypersurfaces under decaying convexity ⋮ The affine Cauchy problem

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