Harmonic functions on R-covered foliations and group actions on the circle

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dc.creatorFenley, Sergio
dc.creatorFeres, Renato
dc.creatorParwani, Kamlesh
dc.date2007-12-13
dc.date.accessioned2026-07-07T08:49:04Z
dc.date.available2026-07-07T08:49:04Z
dc.descriptionLet (M, F) be a compact codimension-one foliated manifold whose leaves are equipped with Riemannian metrics, and consider continuous functions on M that are harmonic along the leaves of F . If every such function is constant on leaves we say that (M, F) has the Liouville property. Our main result is that codimension-one foliated bundles over compact negatively curved manifolds satisfy the Liouville property. Related results for R-covered foliations, as well as for discrete group actions and discrete harmonic functions, are also established.
dc.description30 pages
dc.identifierhttps://arxiv.org/abs/0712.2193
dc.identifierhttp://arxiv.org/abs/0712.2193
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/144165
dc.subjectDynamical Systems
dc.subjectGeometric Topology
dc.subject58J65, 37C85, 57R30 (Primary); 53C12 (Secondary)
dc.titleHarmonic functions on R-covered foliations and group actions on the circle
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