Volume renormalization for complete Einstein-Kahler metrics

被引：12
|
作者：
Seshadri, Neil [1 ]
机构：
[1] Univ Tokyo, Grad Sch Math Sci, Meguro Ku, Tokyo 1538914, Japan
来源：
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 2007年 / 25卷 / 04期
关键词：
volume renormalization; CR geometry; pseudohermitian structure; complete Einstein-Kahler metric; Q-curvature;
D O I：
10.1016/j.difgeo.2007.02.004
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
For a strictly pseucloconvex domain in a complex manifold we define a renormalized volume with respect to the approximately Einstein complete Kahler metric of Fefferman. We compute the conformal anomaly in complex dimension two and apply the result to derive a renormalized Chem-Gauss-Bonnet formula. Relations between renormalized volume and CR Q-curvature are also investigated. (c) 2007 Elsevier B.V. All rights reserved.
引用
收藏
页码：356 / 379
页数：24
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