A compactness theorem for locally homogeneous spaces

被引：0
|
作者：
Pediconi, Francesco [1 ]
机构：
[1] Univ Firenze, Dipartimento Matemat & Informat Ulisse Dini, Viale Morgagni 67-A, I-0134 Florence, Italy
来源：
ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE | 2022年 / 23卷 / 01期
关键词：
COLLAPSING RIEMANNIAN-MANIFOLDS; RICCI FLOW; CONVERGENCE; SMOOTHNESS; MAP;
D O I：
10.2422/2036-2145.201912_001
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove the existence and uniqueness of geometric models of local isometry classes of locally homogeneous spaces with sectional curvature j sec j < 1. Moreover, we show that the set of geometric models is compact in the pointed C1;a-topology.
引用
收藏
页码：339 / 360
页数：22
相关论文
共 50 条
12345