Convergence of locally homogeneous spaces

被引：4

作者：

Pediconi, Francesco ^{[1
]}

机构：

[1] Univ Firenze, Dipartimento Matemat & Informat Ulisse Dini, Viale Morgagni 67-A, I-50134 Florence, Italy

来源：

GEOMETRIAE DEDICATA | 2021年 / 211卷 / 01期

关键词：

Locally homogenous Riemannian spaces; Convergence of Riemannian manifolds; COLLAPSING RIEMANNIAN-MANIFOLDS; LONG-TIME BEHAVIOR; RICCI FLOW;

D O I：

10.1007/s10711-020-00542-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study three different topologies on the moduli space H-m(loc) of equivariant local isometry classes of m-dimensional locally homogeneous Riemannian spaces. As an application, we provide the first examples of locally homogeneous spaces converging to a limit space in the pointed C-k,C-alpha-topology, for some k > 1, which do not admit any convergent subsequence in the pointed Ck+1-topology.

引用

页码：105 / 127

页数：23

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