An extension of the affine Bernstein problem

DOI10.1007/S00025-011-0181-2zbMath1254.53016OpenAlexW2064548989MaRDI QIDQ1758345

Xianqiang Yang

Publication date: 9 November 2012

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-011-0181-2

zbMATH Keywords

affine Bernstein problemmaximal surfacesingular setaffine area

Mathematics Subject Classification ID

Affine differential geometry (53A15) Propagation of singularities; initial value problems on manifolds (58J47)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the affine Bernstein problem
• On subharmonic functions and differential geometry in the large
• Non-removable singularities of a fourth-order nonlinear partial differential equation
• Convex affine maximal surfaces
• An extension of a theorem by K. Jörgens and a maximum principle at infinity for parabolic affine spheres
• The Bernstein problem for affine maximal hypersurfaces
• Notes on Chern's affine Bernstein conjecture
• Flat fronts in hyperbolic 3-space
• Improper affine maps
• Symmetry and uniqueness of parabolic affine spheres
• Maximal surfaces with singularities in Minkowski space
• The affine Cauchy problem
• The mathematical works of Wilhelm Blaschke
• The space of solutions to the Hessian one equation in the finitely punctured plane
• Affine maximal surfaces with singularities
• A Bernstein property of some fourth order partial differential equations
• The Cauchy problem for improper affine spheres and the Hessian one equation
• Hypersurfaces with Maximal Affinely Invariant Area
• SINGULARITIES OF IMPROPER AFFINE SPHERES AND SURFACES OF CONSTANT GAUSSIAN CURVATURE
• Global affine differential geometry of hypersurfaces
• Affine complete locally convex hypersurfaces
• The Calabi conjecture on affine maximal surfaces

This page was built for publication: An extension of the affine Bernstein problem