Extremal metrics for the Q′-curvature in three dimensions

被引：3

作者：

Case, Jeffrey S. ^{[1
]}

Hsiao, Chin-Yu ^{[2
]}

Yang, Paul ^{[3
]}

机构：

[1] Penn State Univ, Dept Math, McAllister Bldg, University Pk, PA 16802 USA

[2] Acad Sinica, Inst Math, 6F Astron Math Bldg,1,Sec 4,Roosevelt Rd, Taipei 10617, Taiwan

[3] Princeton Univ, Dept Math, Princeton, NJ 08544 USA

来源：

COMPTES RENDUS MATHEMATIQUE | 2016年 / 354卷 / 04期

关键词：

ZETA-FUNCTION DETERMINANTS; PSEUDOCONVEX DOMAINS; MOSER-TRUDINGER; CR MANIFOLDS; INEQUALITIES; 4-MANIFOLDS; LAPLACIANS; GEOMETRY; SPHERE;

D O I：

10.1016/j.crma.2015.12.012

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct contact forms with constant Q '-curvature on compact three-dimensional CR manifolds that admit a pseudo-Einstein contact form and satisfy some natural positivity conditions. These contact forms are obtained by minimizing the CR analogue of the II-functional from conformal geometry. Two crucial steps are to show that the P '-operator can be regarded as an elliptic pseudodifferential operator and to compute the leading-order terms of the asymptotic expansion of the Green's function for root P '. (C) 2015 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

引用

页码：407 / 410

页数：4

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