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

页码：339 / 360

页数：22

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