靳晓尚
论文成果
Finite Boundary Regularity for Conformally Compact Einstein Manifolds of Dimension 4
发布时间：2020-10-06 点击次数：
论文类型：期刊论文
第一作者：Xiaoshang Jin
发表刊物：JOURNAL OF GEOMETRIC ANALYSIS
收录刊物：SCI
所属单位：Beijing International Center for Mathematical Research, Peking University
刊物所在地：UNITED STATES
学科门类：理学
一级学科：数学
文献类型：J
ISSN号：1050-6926
关键字：Regularity · Einstein manifold · Asymptotically hyperbolic · Harmonic coordinates · Schauder estimat
发表时间：2020-05-25
摘要：We prove that a 4-dimensional C^2 conformally compact Einstein manifold with Hölder
continuous scalar curvature and with C^{m,α} boundary metric has a C^{m,α} compactification.
We also study the regularity of the new structure and the new defining function.
This is a supplementary proof of Anderson's work and an improvement of Helliwell's
result in dimension 4.
发布期刊链接：https://doi.org/10.1007/s12220-020-00423-0