On the cohomological equation of magnetic flows

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dc.creatorDairbekov, Nurlan S.
dc.creatorPaternain, Gabriel P.
dc.date2008-07-29
dc.date.accessioned2026-07-07T09:53:29Z
dc.date.available2026-07-07T09:53:29Z
dc.descriptionWe consider a magnetic flow without conjugate points on a closed manifold $M$ with generating vector field $\G$. Let $h\in C^{\infty}(M)$ and let $θ$ be a smooth 1-form on $M$. We show that the cohomological equation \[\G(u)=h\circ π+θ\] has a solution $u\in C^{\infty}(SM)$ only if $h=0$ and $θ$ is closed. This result was proved in \cite{DP2} under the assumption that the flow of $\G$ is Anosov.
dc.identifierhttps://arxiv.org/abs/0807.4602
dc.identifierhttp://arxiv.org/abs/0807.4602
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/165968
dc.subjectDynamical Systems
dc.subjectDifferential Geometry
dc.titleOn the cohomological equation of magnetic flows
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