Translating Surfaces of the Non-parametric Mean Curvature Flow in Lorentz Manifold M 2 × ℝ*
Li Chen , Dan-Dan Hu , Jing Mao , Ni Xiang
Chinese Annals of Mathematics, Series B ›› 2021, Vol. 42 ›› Issue (2) : 297 -310.
Translating Surfaces of the Non-parametric Mean Curvature Flow in Lorentz Manifold M 2 × ℝ*
In this paper, for the Lorentz manifold M 2 × ℝ with M 2 a 2-dimensional complete surface with nonnegative Gaussian curvature, the authors investigate its spacelike graphs over compact, strictly convex domains in M 2, which are evolving by the non-parametric mean curvature flow with prescribed contact angle boundary condition, and show that solutions converge to ones moving only by translation.
Translating surfaces / Mean curvature flow / Lorentz manifolds
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