Ling Xiao

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math.DG2022

Generalized Minkowski inequality via degenerate Hessian equations on exterior domains

Ling Xiao

In this paper, we prove a generalized Minkowski inequality holds for any smooth, $(k - 1)$ -convex, starshaped domain $Ω.$ Our proof relies on the solvability of the degenerate $k$ -He…

math.DG2022

Entire $σ_{k}$ curvature flow in Minkowski space

Zhizhang Wang, Ling Xiao

In this paper, we study the $σ_{k}$ curvature flow of noncompact spacelike hypersurfaces in Minkowski space. We prove that if the initial hypersurface satisfies certain conditions, t…

Generalized Minkowski inequality via degenerate Hessian equations on exterior domains

Entire σk​ curvature flow in Minkowski space

Entire $σ_{k}$ curvature flow in Minkowski space