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Volume preserving flows with cyclic winding numbers groups and without periodic orbits on 3-manifolds

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Abstract:

We construct examples of volume preserving non-singular C 1 vector fields on closed orientable 3-manifolds, which have cyclic winding numbers groups with respect to the preserved volume element, but have no periodic orbits.

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Authors and Affiliations

  1. Department of Mathematics, University of Crete,P.O.Box 1470, GR-71409 Iraklion, Greece. e-mail: athanako@talos.cc.uch.gr, , , , , , GR

    Konstantin Athanassopoulos

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  1. Konstantin Athanassopoulos
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Received: 17 January 1998 / Revised version: 31 March 1998

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Athanassopoulos, K. Volume preserving flows with cyclic winding numbers groups and without periodic orbits on 3-manifolds . manuscripta math. 97, 37–44 (1998). https://doi.org/10.1007/s002290050083

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  • DOI: https://doi.org/10.1007/s002290050083

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