Relative structure cycles and the existence of smooth Lyapunov 1-forms for flows
classification
🧮 math.GT
math.DS
keywords
smoothexistenceformslyapunovadaptedbehaviorcertainconditions
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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.
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