Coherent measures and the existence of smooth Lyapunov 1-forms for flows

• Autores: Janko Latschev
• Localización: Topology, ISSN 0040-9383, Vol. 45, Nº 4, 2006, págs. 707-724
• Idioma: inglés
• DOI: 10.1016/j.top.2006.01.001
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• Resumen

  • Let a smooth vector field V on a smooth closed manifold M be given and let ZM be an isolated invariant set for the flow of V. In this situation, we give a necessary and sufficient condition for the existence of a Lyapunov 1-form for (V,Z) in terms of the relative asymptotic cycles associated with certain invariant measures of the flow.