刻画共形双曲度量的孤立奇点  

Characterizing isolated singularities of conformal hyperbolic metrics

作　　者：冯宇[1] 史毅茜[1] 许斌[1] FENG Yu;SHI Yiqian;XU Bin(CAS Wu Wen-Tsun Key Laboratory of Mathematics, School of Mathematical Sciences, University of Science and Technology of China, Hefei 230026, China)

机构地区：[1]中国科学技术大学数学科学学院中科院吴文俊数学重点实验室,安徽合肥230026

出　　处：《中国科学技术大学学报》2020年第2期87-93,共7页JUSTC

基　　金：Supported by NNSF of China(11931009, 11971450);Anhui Initiative in Quantum Information Technologies (AHY150200);the Fundamental Research Funds for the Central Universities

摘　　要：利用复分析方法给出了共形双曲度量的孤立奇点的局部模型.这种方法本身有趣,并且有可能推广到高维的情况.The explicit local models were classified for isolated singularities of complex one-dimensional hyperbolic metrics by complex analysis,which is interesting in its own way and could potentially be extended to higher dimensional cases.

关 键 词：共形双曲度量 锥奇点 尖奇点 展开映射 

分 类 号：O186.1[理学—数学]