Indexed by: Journal paper

First Author: Xiaoshang Jin

Journal: JOURNAL OF GEOMETRIC ANALYSIS

Included Journals: SCI

Affiliation of Author(s): Beijing International Center for Mathematical Research, Peking University,

Place of Publication: UNITED STATES

Discipline: Science

First-Level Discipline: Mathematics

Document Type: J

ISSN No.: 1050-6926

Key Words: Regularity · Einstein manifold · Asymptotically hyperbolic · Harmonic coordinates · Schauder estimat

Date of Publication: 2020-05-25

Abstract: 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.

Links to published journals: https://doi.org/10.1007/s12220-020-00423-0