Relative structure cycles and the existence of smooth Lyapunov 1-forms for flows

2004/02/05 by Janko Latschev, Latschev, Janko
Mathematics · #37B30 #37B35 #57R25 #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric Topology (math.GT) #math.DS #math.GT #msc:37B30 #msc:37B35 #msc:57R25

paper · pdf · doi:10.48550/arxiv.math/0402081

20 pages

arxiv created 2004/02/05 · arxiv updated 2009/12/01

Abstract

We give necessary and sufficient conditions for the existence of smooth Lyapunov 1-forms for the flow of a smooth vector field in terms of the behavior of certain locally finite invariant measures. The main statement generalizes a result of Schwartzman, whereas the methods are adapted from work of Sullivan.

Related

• Smooth Lyapunov 1-forms
• Lyapunov 1-forms on orbifolds
• Lyapunov 1-forms for flows
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