On the injectivity of the X-ray transform for Anosov thermostats

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dc.creatorJane, Dan
dc.creatorPaternain, Gabriel P.
dc.date2007-08-07
dc.date2008-06-19
dc.date.accessioned2026-07-07T09:45:09Z
dc.date.available2026-07-07T09:45:09Z
dc.descriptionWe consider Anosov thermostats on a closed surface and the X-ray transform on functions which are up to degree two in the velocities. We show that the subspace where the X-ray transform fails to be s-injective is finite dimensional. Furthermore, if the surface is negatively curved and the thermostat is pure Gaussian (i.e. no magnetic field is present), then the X-ray transform is s-injective.
dc.descriptionRevised version more explicitly outlines an open problem in the introduction, and corrects a typo in the Lie brackets of page 4. An appendix rewritten for clarity in the second revision. Final version as accepted by DCDS-A
dc.identifierhttps://arxiv.org/abs/0708.1017
dc.identifierhttp://arxiv.org/abs/0708.1017
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/163108
dc.subjectDynamical Systems
dc.titleOn the injectivity of the X-ray transform for Anosov thermostats
dc.typetext

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