Improper affine maps

DOI10.1007/s00209-004-0728-yzbMath1132.53304OpenAlexW1602566231MaRDI QIDQ1772001

Xianqiang Yang

Publication date: 14 April 2005

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-004-0728-y

Mathematics Subject Classification ID

Global submanifolds (53C40) Non-Euclidean differential geometry (53A35) Affine differential geometry (53A15)

Related Items

The Cauchy problem for improper affine spheres and the Hessian one equation ⋮ SINGULARITIES OF IMPROPER AFFINE SPHERES AND SURFACES OF CONSTANT GAUSSIAN CURVATURE ⋮ On the maximal number of exceptional values of Gauss maps for various classes of surfaces ⋮ Improper affine spheres and the Hessian one equation ⋮ Remarks on the Gauss images of complete minimal surfaces in Euclidean four-space ⋮ Singularities of convex improper affine maps ⋮ Surfaces of constant curvature in \(\mathbb R^3\) with isolated singularities ⋮ Value distribution of the Gauss map of improper affine spheres ⋮ The Cauchy problem for indefinite improper affine spheres and their Hessian equation ⋮ Flat fronts in hyperbolic 3-space with prescribed singularities ⋮ GAUSSIAN CURVATURE AND UNICITY PROBLEM OF GAUSS MAPS OF VARIOUS CLASSES OF SURFACES ⋮ Ribaucour type transformations for the Hessian one equation ⋮ A geometric representation of improper indefinite affine spheres with singularities ⋮ Value distribution for the Gauss maps of various classes of surfaces ⋮ An extension of the affine Bernstein problem ⋮ Singularities of improper affine maps and their Hessian equation ⋮ The affine Cauchy problem ⋮ Even dimensional improper affine spheres ⋮ Representation formula for discrete indefinite affine spheres ⋮ Flat lightlike hypersurfaces in Lorentz-Minkowski 4-space

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