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math.DG2018★ 1 cited
Improper affine spheres and the Hessian one equation
Antonio Martínez, Francisco Milán
Improper affine spheres have played an important role in the development of geometric methods for the study of the Hessian one equation. Here, we review most of the advances we hav…
math.DG2013
The Cauchy problem for indefinite improper affine spheres and their Hessian equation
Francisco Milán
We give a conformal representation for indefinite improper affine spheres which solve the Cauchy problem for their Hessian equation. As consequences, we can characterize their geod…