Compactification of a class of conformally flat 4-manifold

• 成果类型: Article
• 署名作者: Chang, SYA; Qing, J; Yang, PC
• 署名单位: Princeton University; University of California System; University of California Los Angeles; University of California System; University of California Santa Cruz; University of Southern California
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s002220000083
• 发表日期: 2000
• 页码: 65-93
• 关键词: zeta-function determinants; MANIFOLDS; CURVATURE; METRICS

摘要

In this paper we generalize Huber's result on complete surfaces of finite total curvature. For complete locally conformally flat 4-manifolds of positive scalar curvature with Q curvature integrable, where Q is a variant of the Chern-Gauss-Bonnet integrand; we first derive the Cohn-Vossen inequality. We then establish finiteness of the topology. This allows us to provide conformal compactification of such manifolds.