Moduli spaces of flat Riemannian metrics on 3-and 4-dimensional closed manifolds

被引：1

作者：

Garcia, Karla ^{[1
]}

机构：

[1] Univ Nacl Autonoma Mexico, Fac Sci, Mexico City, Mexico

来源：

DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 2023年 / 88卷

关键词：

Flat manifolds; Bieberbach groups; Moduli space; Subgroups ofSL(2 Z);

D O I：

10.1016/j.difgeo.2023.101996

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We describe the topology of the moduli spaces of flat metrics for all the 3 -dimensional closed manifolds. We give an algebraic description of the moduli spaces for the 4-dimensional closed flat manifolds with a single generator in their holonomy and, in some cases, also study their topology.(c) 2023 Elsevier B.V. All rights reserved.

引用

页数：18

共 18 条

[1]

Apostol T.M., 1976, MODULAR FUNCTIONS DI

[2] Teichmuller theory and collapse of flat manifolds [J].

Bettiol, Renato G. ;

Derdzinski, Andrzej ;

Piccione, Paolo .

ANNALI DI MATEMATICA PURA ED APPLICATA, 2018, 197 (04) :1247-1268

[3]

Charlap LeonardS., 1986, Bieberbach groups and flat manifolds

[4]

Corro D, 2019, Arxiv, DOI arXiv:1904.07031

[5]

Farb Benson., 2012, A Primer on Mapping Class Groups

[6]

Garcia Karla, 2019, THESIS KARLSRUHE I T

[7]

Hirsch M., 1976, Differential topology, DOI 10.1007/978-1-4684-9449-5

[8]

Kang E.S., 2002, J CHUNGCHEONG MATH S, V15, P57

[9]

Kang Eun Sook, 2003, [Communications of the KMS, 대한수학회논문집], V18, P95

[10]

Kang ES, 2006, J KOREAN MATH SOC, V43, P1065

← 1 2 →