Even dimensional improper affine spheres

DOI10.1016/j.jmaa.2014.08.028zbMath1301.53010arXiv1212.4722OpenAlexW1982351010MaRDI QIDQ743238

Pedro de M. Rios, Marcos Craizer, Wojciech Domitrz

Publication date: 23 September 2014

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

Full work available at URL: https://arxiv.org/abs/1212.4722

zbMATH Keywords

Monge-Ampère equationexterior differential systemsLagrangian and Legendrian singularitiescenter-chord transformparabolic affine spheresspecial Kähler manifolds

Mathematics Subject Classification ID

Exterior differential systems (Cartan theory) (58A15) Affine differential geometry (53A15)

Related Items (8)

The improved isoperimetric inequality and the Wigner caustic of planar ovals ⋮ Singular points of the Wigner caustic and affine equidistants of planar curves ⋮ The Gauss-Bonnet theorem for coherent tangent bundles over surfaces with boundary and its applications ⋮ Isoperimetric equalities for rosettes ⋮ The geometry of the secant caustic of a planar curve ⋮ Singular improper affine spheres from a given Lagrangian submanifold ⋮ Singularities of affine equidistants: extrinsic geometry of surfaces in 4-space ⋮ The geometry of the Wigner caustic and a decomposition of a curve into parallel arcs

Cites Work

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