Compactness of conformally compact Einstein manifolds in dimension 4

Sun Yung A. Chang; Yuxin Ge

doi:10.1016/j.aim.2018.10.010

Compactness of conformally compact Einstein manifolds in dimension 4

Sun Yung A. Chang
, Yuxin Ge

Mathematics

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

In this paper, we establish some compactness results of conformally compact Einstein metrics on 4-dimensional manifolds. Our results were proved under assumptions on the behavior of some local and non-local conformal invariants, on the compactness of the boundary metrics at the conformal infinity, and on the topology of the manifolds.

Original language	English (US)
Pages (from-to)	588-652
Number of pages	65
Journal	Advances in Mathematics
Volume	340
DOIs	https://doi.org/10.1016/j.aim.2018.10.010
State	Published - Dec 15 2018

All Science Journal Classification (ASJC) codes

General Mathematics

Keywords

Conformally compact Einstein manifolds
Fefferman–Graham compactification
Q-curvature
S-tensor

Access to Document

10.1016/j.aim.2018.10.010

Cite this

@article{3baa82f391704e149253124cbf9350d3,

title = "Compactness of conformally compact Einstein manifolds in dimension 4",

abstract = "In this paper, we establish some compactness results of conformally compact Einstein metrics on 4-dimensional manifolds. Our results were proved under assumptions on the behavior of some local and non-local conformal invariants, on the compactness of the boundary metrics at the conformal infinity, and on the topology of the manifolds.",

keywords = "Conformally compact Einstein manifolds, Fefferman–Graham compactification, Q-curvature, S-tensor",

author = "Chang, \{Sun Yung A.\} and Yuxin Ge",

note = "Publisher Copyright: {\textcopyright} 2018 Elsevier Inc.",

year = "2018",

month = dec,

day = "15",

doi = "10.1016/j.aim.2018.10.010",

language = "English (US)",

volume = "340",

pages = "588--652",

journal = "Advances in Mathematics",

issn = "0001-8708",

publisher = "Academic Press Inc.",

}

TY - JOUR

T1 - Compactness of conformally compact Einstein manifolds in dimension 4

AU - Chang, Sun Yung A.

AU - Ge, Yuxin

PY - 2018/12/15

Y1 - 2018/12/15

N2 - In this paper, we establish some compactness results of conformally compact Einstein metrics on 4-dimensional manifolds. Our results were proved under assumptions on the behavior of some local and non-local conformal invariants, on the compactness of the boundary metrics at the conformal infinity, and on the topology of the manifolds.

AB - In this paper, we establish some compactness results of conformally compact Einstein metrics on 4-dimensional manifolds. Our results were proved under assumptions on the behavior of some local and non-local conformal invariants, on the compactness of the boundary metrics at the conformal infinity, and on the topology of the manifolds.

KW - Conformally compact Einstein manifolds

KW - Fefferman–Graham compactification

KW - Q-curvature

KW - S-tensor

UR - https://www.scopus.com/pages/publications/85054802626

UR - https://www.scopus.com/pages/publications/85054802626#tab=citedBy

U2 - 10.1016/j.aim.2018.10.010

DO - 10.1016/j.aim.2018.10.010

M3 - Article

AN - SCOPUS:85054802626

SN - 0001-8708

VL - 340

SP - 588

EP - 652

JO - Advances in Mathematics

JF - Advances in Mathematics

ER -

Compactness of conformally compact Einstein manifolds in dimension 4

Abstract

All Science Journal Classification (ASJC) codes

Keywords

Access to Document

Other files and links

Fingerprint

Cite this