Translating Surfaces of the Non-parametric Mean Curvature Flow in Lorentz Manifold M2×R

• 来源期刊: 数学年刊B辑（英文版）
• 年，卷（期）: 2021,（2）
• 页码范围: 297-310
• 页数: 14页
• 语种: 英文
• DOI: 10.1007/s11401-021-0259-4

摘要

In this paper,for the Lorentz manifold M2 × R with M2 a 2-dimensional complete surface with nonnegative Gaussian curvature,the authors investigate its space-like graphs over compact,strictly convex domains in M2,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.