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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… Click to show full 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.
Keywords:
group compact;
relator;
relator sasakian;
fundamental group;
one relator
Journal Title: Colloquium Mathematicum
Year Published: 2021
Link to full text (if available)
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Journal Title: Colloquium Mathematicum
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!