dc.contributorHartmann Junior, Luiz Roberto
dc.contributorhttp://lattes.cnpq.br/4217613854338579
dc.contributorhttp://lattes.cnpq.br/3795412733352592
dc.creatorCaramello Junior, Francisco Carlos
dc.date.accessioned2016-08-30T20:19:00Z
dc.date.available2016-08-30T20:19:00Z
dc.date.created2016-08-30T20:19:00Z
dc.date.issued2014-02-27
dc.identifierCARAMELLO JUNIOR, Francisco Carlos. Ações e folheações polares em variedades de Hadamard. 2014. Dissertação (Mestrado em Matemática) – Universidade Federal de São Carlos, São Carlos, 2014. Disponível em: https://repositorio.ufscar.br/handle/ufscar/7049.
dc.identifierhttps://repositorio.ufscar.br/handle/ufscar/7049
dc.description.abstractThis work aims at presenting some recent results on the theory of polar foliations, also know as singular riemannian foliations with sections, on nonpositively curved manifolds, as seen in T oben [24]. Polar actions are also studied, for they are active research subject that motivate and illustrate polar foliations. We give a proof of the nonexistence of proper polar foliations on compact manifolds of nonpositive curvature. Then we present a result that globally describes proper polar foliations on Hadamard manifolds. We prove this same result in the special case of polar actions by using the theory of taut submanifolds. The adjoint and conjugation actions are brie y presented as classical examples of polar actions.
dc.languagepor
dc.publisherUniversidade Federal de São Carlos
dc.publisherUFSCar
dc.publisherPrograma de Pós-Graduação em Matemática - PPGM
dc.publisherCâmpus São Carlos
dc.rightsAcesso aberto
dc.subjectGeometria riemaniana
dc.subjectFolheações (Matemática)
dc.subjectVariedades (Matemática)
dc.subjectGeometry, Riemannian
dc.subjectFoliations (Mathematics)
dc.subjectManifolds (Mathematics)
dc.titleAções e folheações polares em variedades de Hadamard
dc.typeTesis


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