洛伦兹流形中空间相似图平移的稳定性结果

IF 1.2 4区数学 Q1 MATHEMATICS Acta Mathematica Scientia Pub Date : 2024-03-01 DOI:10.1007/s10473-024-0206-z

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引用次数: 0

摘要

摘要本文研究了洛伦兹流形 Mn × ℝ 中定义在域 Ω ⊂ Mn 上的空间ike 图，其度量为 -ds2 + σ，其中 Mn 是具有度量 σ 的完整黎曼 n 形，Ω 具有片断光滑边界，ℝ 表示欧几里得 1 空间。我们证明了在共形变换下 Mn × ℝ 中空间相似图平移的一个有趣的稳定性结果。

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A stability result for translating spacelike graphs in Lorentz manifolds

Abstract

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.

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来源期刊

Acta Mathematica Scientia 数学-数学

CiteScore

2.00

自引率

10.00%

发文量

2614

审稿时长

6 months

期刊介绍： Acta Mathematica Scientia was founded by Prof. Li Guoping (Lee Kwok Ping) in April 1981. The aim of Acta Mathematica Scientia is to present to the specialized readers important new achievements in the areas of mathematical sciences. The journal considers for publication of original research papers in all areas related to the frontier branches of mathematics with other science and technology.