19 citations · 45 across the 19 of their papers we have counts for
19 papers
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…
Entire curvature flow in Minkowski space
Zhizhang Wang, Ling Xiao
In this paper, we study the curvature flow of noncompact spacelike hypersurfaces in Minkowski space. We prove that if the initial hypersurface satisfies certain conditions, t…
Entire self-expanders for power of curvature flow in Minkowski space
Zhizhang Wang, Ling Xiao
In [19], we prove that if an entire, spacelike, convex hypersurface has bounded principal curvatures, then the (power of ) curvature flow start…
Entire convex curvature flow in Minkowski space
Zhizhang Wang, Ling Xiao
In this paper, we study fully nonlinear curvature flows of noncompact spacelike hypersurfaces in Minkowski space. We prove that if the initial hypersurface satisfies certain condit…
Entire spacelike constant curvature hypersurfaces with prescribed boundary data at infinity
Zhizhang Wang, Ling Xiao
In this paper, we investigate the existence and uniqueness of convex, entire, spacelike hypersurfaces of constant curvature with prescribed set of lightlike directions $\math…
Asymptotic convergence for modified scalar curvature flow
Ling Xiao
In this paper, we study the flow of closed, starshaped hypersurfaces in with speed where is the normalized square root of the scalar…