Small angle limits of Hamilton's footballs

被引：4
|
作者：
Rubinstein, Yanir A. [1 ]
Zhang, Kewei [1 ,2 ]
机构：
[1] Univ Maryland, Dept Math, College Pk, MD 20742 USA
[2] Peking Univ, Beijing Int Ctr Math Res, Beijing 100871, Peoples R China
来源：
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2020年 / 52卷 / 01期
基金：
美国国家科学基金会;
关键词：
35C08; 53C44 (primary); 58K60 (secondary); METRICS;
D O I：
10.1112/blms.12319
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Compact Ricci solitons on surfaces have at most two cone points, and are known as Hamilton's footballs. In this note we completely describe the degenerations of these footballs as one or both of the cone angles approach zero. In particular, we show that Hamilton's famous non-compact cigar soliton is the Gromov-Hausdorff limit of Hamilton's compact conical teardrop solitons.
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页码：189 / 199
页数：11
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