Some Remarks on the Total CR Q and Q′-Curvatures

被引：5
|
作者：
Marugame, Taiji [1 ]
机构：
[1] Acad Sinica, Inst Math, Astronomy Math Bldg,1 Sec 4,Roosevelt Rd, Taipei 10617, Taiwan
来源：
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS | 2018年 / 14卷
关键词：
CR manifolds; Q-curvature; P '-operator; Q '-curvature; COMPLEX ANALYTIC VARIETIES; Q-PRIME CURVATURE; PSEUDO-EINSTEIN; BERGMAN-KERNEL; MANIFOLDS; BOUNDARIES; METRICS;
D O I：
10.3842/SIGMA.2018.010
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove that the total CR Q-curvature vanishes for any compact strictly pseudoconvex CR manifold. We also prove the formal self-adjointness of the P'-operator and the CR invariance of the total Q'-curvature for any pseudo-Einstein manifold without the assumption that it bounds a Stein manifold.
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页数：8
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