Abstract
We consider a magnetic flow without conjugate points on a closed manifold M with generating vector field Gμ. Let h ∈ C∞(M) and let θ be a smooth 1-form on M . We show that the cohomological equation Gμ(u) = h ◦ π + θ has a solution u ∈ C∞(SM) only if h = 0 and θ is closed. This result was proved in [10] under the assumption that the flow of Gμ is Anosov.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
