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math.DG2010
A Geometric Representation of Improper Indefinite Affine Spheres with Singularities
Marcos Craizer, Ralph C. Teixeira, Moacyr A. H. B. da Silva
Given a pair of planar curves, one can define its generalized area distance, a concept that generalizes the area distance of a single curve. In this paper, we show that the general…
math.DG2010
Volume Distance to Hypersurfaces: Asymptotic Behavior of its Hessian
Marcos Craizer, Ralph C. Teixeira
The volume distance from a point p to a convex hypersurface M of the (N+1)-dimensional space is defined as the minimum (N+1)-volume of a region bounded by M and a hyperplane H thro…