超曲面
边界(拓扑)
独特性
数学分析
数学
欧几里得空间
公制(单位)
欧几里德几何
扩展(谓词逻辑)
纯数学
几何学
计算机科学
运营管理
经济
程序设计语言
作者
Zhongshan An,Lan-Hsuan Huang
出处
期刊:Cambridge journal of mathematics
[International Press of Boston, Inc.]
日期:2022-01-01
卷期号:10 (1): 1-68
被引量:3
标识
DOI:10.4310/cjm.2022.v10.n1.a1
摘要
We prove the existence and local uniqueness of asymptotically flat, static vacuum metrics with arbitrarily prescribed Bartnik boundary data that are close to the induced boundary data on any star-shaped hypersurface or a general family of perturbed hypersurfaces in the Euclidean space. It confirms the existence part of the Bartnik static extension conjecture for large classes of boundary data, and the static vacuum metric obtained is geometrically unique in a neighborhood of the Euclidean metric.
科研通智能强力驱动
Strongly Powered by AbleSci AI