The Higher-Dimensional Chern-Gauss-Bonnet Formula for Singular Conformally Flat Manifolds

被引：5
|
作者：
Buzano, Reto [1 ]
Huy The Nguyen [1 ]
机构：
[1] Queen Mary Univ London, Sch Math Sci, London E1 4NS, England
来源：
JOURNAL OF GEOMETRIC ANALYSIS | 2019年 / 29卷 / 02期
基金：
英国工程与自然科学研究理事会;
关键词：
Chern-Gauss-Bonnet; Conical singularities; Conformal metrics; Integral estimates; Q-curvature; CURVATURE; SURFACES; GEOMETRY; METRICS;
D O I：
10.1007/s12220-018-0029-z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In a previous article, we generalised the classical four-dimensional Chern-Gauss-Bonnet formula to a class of manifolds with finitely many conformally flat ends and singular points, in particular obtaining the first such formula in a dimension higher than two which allows the underlying manifold to have isolated conical singularities. In the present article, we extend this result to all even dimensions n >= 4 in the case of a class of conformally flat manifolds.
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页码：1043 / 1074
页数：32
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