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Cyclically symmetric hyperbolic spatial graphs in 3-manifolds

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Abstract

The aims of this paper is to prove that every closed connected orientable 3-manifold with an orientation-preserving periodic diffeomorphism contains infinitely many, setwise invariant, spatial graphs whose exteriors are hyperbolic 3-manifolds.

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Acknowledgments

The author would like to thank the referees for helpful comments which improved this paper.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Kochi University, 2-5-1 Akebono-cho, Kochi, 780-8520, Japan

    Toru Ikeda

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  1. Toru Ikeda
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Correspondence to Toru Ikeda.

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Ikeda, T. Cyclically symmetric hyperbolic spatial graphs in 3-manifolds. Geom Dedicata 170, 177–183 (2014). https://doi.org/10.1007/s10711-013-9875-9

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  • DOI: https://doi.org/10.1007/s10711-013-9875-9

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