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arXiv · 2101.10835

One-relator Sasakian groups

Indranil Biswas·Mahan Mj
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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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Indranil Biswas, Mahan Mj. 2021-01-26. One-relator Sasakian groups. https://arxiv.org/abs/2101.10835

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