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math.AP2023
Global analyticity of affine hyperbolic spheres in the even dimensional space
Huaiyu Jian, Xianduo Wang
A number of geometric problems, including affine hyperbolic spheres, Hilbert metrics and Minkowski type problems, are reduced to a singular Monge-Ampère equation which can be writt…
math.AP2023
Sharp boundary regularity for some degenerate-singular Monge-Ampère Equations on k-convex domain
Huaiyu Jian, Xianduo Wang
We introduce the concept of k-strictly convexity to describe the accurate convexity of convex domains some directions of which boundary may be flat. Basing this accurate convexity,…