四维闭流形上平坦黎曼度量的模空间

IF 1 3区数学 Q1 MATHEMATICS

Annali di Matematica Pura ed Applicata Pub Date : 2025-02-26 DOI:10.1007/s10231-024-01514-3

Karla García, Oscar Palmas

引用次数: 0

摘要

本文给出了具有两个或三个完整发生器的四维封闭平面流形的平面度量模空间的代数和拓扑描述，完成了García （Differ Geom appll 88:101996- 18,2023）中所做的分析。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

We give the algebraic and topological description of the moduli spaces of flat metrics for the 4-dimensional closed flat manifolds with two or three generators in their holonomy, which completes the analysis made in García (Differ Geom Appl 88:101996-18, 2023).

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来源期刊

Annali di Matematica Pura ed Applicata 数学-数学

CiteScore

2.10

自引率

10.00%

发文量

审稿时长

>12 weeks

期刊介绍： This journal, the oldest scientific periodical in Italy, was originally edited by Barnaba Tortolini and Francesco Brioschi and has appeared since 1850. Nowadays it is managed by a nonprofit organization, the Fondazione Annali di Matematica Pura ed Applicata, c.o. Dipartimento di Matematica "U. Dini", viale Morgagni 67A, 50134 Firenze, Italy, e-mail annali@math.unifi.it). A board of Italian university professors governs the Fondazione and appoints the editors of the journal, whose responsibility it is to supervise the refereeing process. The names of governors and editors appear on the front page of each issue. Their addresses appear in the title pages of each issue.