ONE-RELATOR SASAKIAN GROUPS

被引：1

作者：

Biswas, Indranil ^{[1
]}

Mahan, M. J. ^{[1
]}

机构：

[1] Tata Inst Fundamental Res, Sch Math, 1 Homi Bhabha Rd, Mumbai 400005, Maharashtra, India

来源：

COLLOQUIUM MATHEMATICUM | 2022年 / 167卷 / 01期

关键词：

Sasakian manifold; deficiency of groups; virtual surface group; one-relator group; FUNDAMENTAL GROUP;

D O I：

10.4064/cm8521-3-2021

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 >= 1. We also classify all groups of deficiency at least 2 that are also the fundamental group of some compact Sasakian manifold.

引用

页码：159 / 170

页数：12

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