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| Translating Surfaces of the Non-parametric Mean Curvature Flow in Lorentz Manifold M2 × R* |
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Citation： |
Li CHEN,Dan-Dan HU,Jing MAO,Ni XIANG.Translating Surfaces of the Non-parametric Mean Curvature Flow in Lorentz Manifold M2 × R*[J].Chinese Annals of Mathematics B,2021,42(2):297~310 |
| Page view： 542
Net amount： 438 |
Authors： |
Li CHEN; Dan-Dan HU;Jing MAO;Ni XIANG |
Foundation： |
National Natural Science Foundation of China (Nos. 11401131,11101132, 11926352), the Fok Ying-Tung Education Foundation (China), and Hubei Key Laboratory of Applied Mathematics (Hubei University). |
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| Abstract： |
In this paper, for the Lorentz manifold M2 × R with M2 a 2-dimensional complete surface with nonnegative Gaussian curvature, the authors investigate its spacelike graphs over compact, strictly convex domains in M2 , which are evolving by the nonparametric mean curvature flow with prescribed contact angle boundary condition, and show that solutions converge to ones moving only by translation. |
Keywords： |
Translating surfaces, Mean curvature flow, Lorentz manifolds |
Classification： |
53E10, 53C42, 35B45, 35K93 |
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