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.
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页码：159 / 170
页数：12
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