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math.AP2018
Rigidity of the entire solutions of 2-Hessian equation
Li Chen, Ni Xiang
In this paper, we prove some rigidity theorems for the entire 2-convex solutions of 2-Hessian equation in Euclidean space. As an application, we obtain a Bernstein type theorem for…
math.DG2018
Translating surfaces of the non-parametric mean curvature flow in Lorentz manifold
Li Chen, Dan-Dan Hu, Jing Mao +1
In this paper, for the Lorentz manifold , with a -dimensional complete surface with nonnegative Gaussian curvature, we investigate its space-like…
math.DG2018
Inverse Gauss curvature flows with free boundaries in a cone
Li Chen, Ni Xiang
We consider strictly convex hypersurfaces with the boundary which meets a strictly convex cone perpendicularly. We prove that if these hypersurfaces expand inside this cone, driven…