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math.DG2026
Inverse Hessian Curvature Flow in Minkowski Space II: The Dirichlet problem at infinity
Dake Li, Zhizhang Wang, Shiqi Yin
This paper studies self-shrinkers and the long-time behavior of the inverse curvature flow for noncompact entire spacelike strictly convex hypersurfaces in Minkowski space. I…
math.DG2026
Inverse Hessian Curvature Flow in Minkowski Space I: Cocompact Hypersurfaces
Dake Li, Zhizhang Wang, Shiqi Yin
In this paper, we investigate the cocompact inverse \(σ_k\) curvature flow in Minkowski space. We prove the longtime existence and convergence of this flow. As a consequence, querm…
math.AP2026
Non-convexity of level sets for solutions to -Hessian equations in exterior domains
Wang Bo, Wang Cong, Wang Zhizhang
In this paper, we provide examples to show that for , solutions to -Hessian equations in the exterior of a strictly convex domain need not be qu…