EQUIVARIANT 3-MANIFOLDS WITH POSITIVE SCALAR CURVATURE

被引：0
|
作者：
Chow, Tsz-Kiu Aaron [1 ]
Li, Yangyang [2 ,3 ]
机构：
[1] Columbia Univ, Dept Math, New York, NY 10027 USA
[2] Princeton Univ, Dept Math, Princeton, NJ USA
[3] Univ Chicago, Dept Math, Chicago, IL USA
来源：
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2024年 / 377卷 / 08期
关键词：
HEEGAARD-SPLITTINGS; HOMEOTOPY GROUPS;
D O I：
10.1090/tran/9181
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, for any compact Lie group G, we show that the space of G-equivariant Riemannian metrics with positive scalar curvature (PSC) on any closed three -manifold is either empty or contractible. In particular, we prove the generalized Smale conjecture for spherical three-orbifolds. Moreover, for connected G, we make a classification of all PSC G-equivariant threemanifolds.
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页码：5993 / 6020
页数：28
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