ON THE REGULARITY OF SOLUTIONS TO THE YAMABE EQUATION AND THE EXISTENCE OF SMOOTH HYPERBOLOIDAL INITIAL DATA FOR EINSTEIN FIELD-EQUATIONS

被引：146

作者：

ANDERSSON, L

CHRUSCIEL, PT

FRIEDRICH, H

机构：

[1] AUSTRALIAN NATL UNIV,CTR MATH & APPLICAT,CANBERRA,ACT 2601,AUSTRALIA

[2] MAX PLANCK INST ASTROPHYS,W-8046 GARCHING,GERMANY

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1992年 / 149卷 / 03期

关键词：

D O I：

10.1007/BF02096944

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The regularity of the solutions to the Yamabe Problem is considered in the case of conformally compact manifolds and negative scalar curvature. The existence of smooth hyperboloidal initial data for Einstein's field equations is demonstrated.

引用

页码：587 / 612

页数：26

共 16 条

[1] ANDERSSON L, UNPUB
[2] ANDERSSON L, 1990, UNPUB INDIAN U MATH
[3] COMPLETE CONFORMAL METRICS WITH NEGATIVE SCALAR CURVATURE IN COMPACT RIEMANNIAN-MANIFOLDS
AVILES, P
MCOWEN, RC
[J]. DUKE MATHEMATICAL JOURNAL, 1988, 56 (02) : 395 - 398
[4] AVILES P, 1988, J DIFFER GEOM, V27, P225
[5] Besse A. L., 1987, ERGEBNISSE MATH, V10
[6] FRIEDRICH H, 1991, J DIFFER GEOM, V34, P275
[7] ON STATIC AND RADIATIVE SPACE-TIMES
FRIEDRICH, H
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1988, 119 (01) : 51 - 73
[8] EINSTEIN-METRICS WITH PRESCRIBED CONFORMAL INFINITY ON THE BALL
GRAHAM, CR
LEE, JM
[J]. ADVANCES IN MATHEMATICS, 1991, 87 (02) : 186 - 225
[9] LOEWNER C, 1974, CONTRIBUTIONS ANAL
[10] MAZZEO R, 1988, J DIFFER GEOM, V28, P309

← 1 2 →