A STABILITY RESULT FOR TRANSLATINGSPACELIKE GRAPHS IN LORENTZ MANIFOLDS  

作　　者：高雅 毛井 吴传喜 Ya GAO;Jing MAO;Chuanxi WU(Faculty of Mathematics and Statistics,Key Laboratory of Applied Mathematics of Hubei Province,Hubei University,Wuhan,430062,China)

机构地区：[1]Faculty of Mathematics and Statistics,Key Laboratory of Applied Mathematics of Hubei Province,Hubei University,Wuhan,430062,China

出　　处：《Acta Mathematica Scientia》2024年第2期474-483,共10页数学物理学报（B辑英文版）

基　　金：supported in part by the NSFC(11801496,11926352);the Fok Ying-Tung Education Foundation(China);the Hubei Key Laboratory of Applied Mathematics(Hubei University).

摘　　要：In this paper,we investigate spacelike graphs defined over a domain Ω⊂M^(n) in the Lorentz manifold M^(n)×ℝ with the metric−ds^(2)+σ,where M^(n) is a complete Riemannian n-manifold with the metricσ,Ωhas piecewise smooth boundary,and ℝ denotes the Euclidean 1-space.We prove an interesting stability result for translating spacelike graphs in M^(n)×ℝ under a conformal transformation.

关 键 词：mean curvature flow spacelike graphs translating spacelike graphs maximal spacelike graphs constant mean curvature Lorentz manifolds 

分 类 号：O186.1[理学—数学]