The qc Yamabe problem on non-spherical quaternionic contact manifolds

被引：4

作者：

Ivanov, Stefan ^{[1
,2
]}

Petkov, Alexander ^{[1
,3
]}

机构：

[1] Univ Sofia, Fac Math & Informat, 5 James Bourchier Blvd, Sofia 1164, Bulgaria

[2] Bulgarian Acad Sci, Inst Math & Informat, Acad G Bonchev Str,Block 8, BU-1113 Sofia, Bulgaria

[3] Univ Vienna, Fac Math, Inst Math, Oskar Morgenstern Pl 1, A-1090 Vienna, Austria

来源：

JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES | 2018年 / 118卷

关键词：

Quaternionic contact structures; qc Yamabe constant; qc Yamabe functional; Asymptotic expansion; SCALAR CURVATURE; HEISENBERG-GROUP; CR; CONJECTURE; EQUATIONS; CONSTANT; METRICS; SPACES;

D O I：

10.1016/j.matpur.2018.06.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is shown that the qc Yamabe problem has a solution on any compact qc manifold which is non-locally qc equivalent to the standard 3-Sasakian sphere. Namely, it is proved that on a compact non-locally spherical qc manifold there exists a qc conformal qc structure with constant qc scalar curvature. (C) 2018 Elsevier Masson SAS. All rights reserved.

引用

页码：44 / 81

页数：38

共 31 条

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