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math.AP2026
Regularized distance in space forms and its application
Xiaodong Cao, Ling Xiao
We construct regularized distance functions for star-shaped domains in space forms and derive explicit formulas for their Hessians in terms of the principal curvat…
math.AP2018
Optimal Regularity of Constant Graphs in Hyperbolic Space
Xumin Jiang, Ling Xiao
Inspired by [6, 7], we study the boundary regularity of constant curvature hypersurfaces in the hyperbolic space , which have prescribed asymptotic boundary at in…