Geometriae Dedicata

, Volume 110, Issue 1, pp 135–142 | Cite as

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

  • Charalampos Charitos


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


cylindrical end compressible end 


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Copyright information

© Springer 2005

Authors and Affiliations

  1. 1.Department of MathematicsAgricultural University of AthensAthensGreece

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