A stability result for translating spacelike graphs in Lorentz manifolds
摘要
In this paper, we investigate spacelike graphs defined over a domain Ω ⊂ Mn in the Lorentz manifold Mn × ℝ with the metric −ds2 + σ, where Mn is a complete Riemannian n-manifold with the metric σ, Ω has piecewise smooth boundary, and ℝ denotes the Euclidean 1-space. We prove an interesting stability result for translating spacelike graphs in Mn × ℝ under a conformal transformation.