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A Generalization of the Poincaré--Bendixson Theorem for Compact 3-manifolds

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Abstract

It is shown that compressible cylindrical ends in compact foliated 3-manifolds spiral onto toral leaves.

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References

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Authors and Affiliations

  1. Department of Mathematics, Agricultural University of Athens, 75 Iera Odos, Athens, 118 55, Greece

    Charalampos Charitos

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  1. Charalampos Charitos
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Correspondence to Charalampos Charitos.

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Mathematics Subject Classification (2000).57R30, 57M99.

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Charitos, C. A Generalization of the Poincaré--Bendixson Theorem for Compact 3-manifolds. Geom Dedicata 110, 135–142 (2005). https://doi.org/10.1007/s10711-004-1529-5

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  • DOI: https://doi.org/10.1007/s10711-004-1529-5

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