One-relator Sasakian groups

IF 0.4 4区数学 Q4 MATHEMATICS

Colloquium Mathematicum Pub Date : 2021-01-26 DOI:10.4064/CM8521-3-2021

I. Biswas, Mahan Mj

引用次数: 1

Abstract

We prove that any one-relator group $G$ is the fundamental group of a compact Sasakian manifold if and only if $G$ is either finite cyclic or isomorphic to the fundamental group of a compact Riemann surface of genus g > 0 with at most one orbifold point of order $n \geq 1$. We also classify all groups of deficiency at least two that are also the fundamental group of some compact Sasakian manifold.

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一个亲戚佐佐木集团

我们证明了任何一个相关群$G$是紧致Sasakian流形的基群，当且仅当$G$要么是有限循环的，要么同构于亏格G>0的紧致Riemann曲面的基群（至多有一个阶为$n\geq1$的折叠点）。我们还将所有的亏群至少分类为两个，它们也是一些紧致Sasakian流形的基群。

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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来源期刊

Colloquium Mathematicum MATHEMATICS-

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Colloquium Mathematicum is a journal devoted to the publication of original papers of moderate length addressed to a broad mathematical audience. It publishes results of original research, interesting new proofs of important theorems and research-expository papers in all fields of pure mathematics. Two issues constitute a volume, and at least four volumes are published each year.