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

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页码：356 / 379

页数：24

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