A model for closed orientable $3$-manifolds of genus $1$
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- by J. A. Narvarte
- Proc. Amer. Math. Soc. 37 (1973), 287-290
- DOI: https://doi.org/10.1090/S0002-9939-1973-0309117-7
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Abstract:
In this paper we obtain a rectangular model for each closed orientable 3-manifold of genus 1 by identifications of the unit cube via unimodular plane involutions. The desirability of the model is indicated with regard to the fibring of such manifolds by circles, together with the development of a corresponding model for the connected sum of two such manifolds.References
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Bibliographic Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 37 (1973), 287-290
- MSC: Primary 57A10; Secondary 55F55
- DOI: https://doi.org/10.1090/S0002-9939-1973-0309117-7
- MathSciNet review: 0309117