dc.contributor | Hartmann Junior, Luiz Roberto | |
dc.contributor | http://lattes.cnpq.br/4217613854338579 | |
dc.contributor | http://lattes.cnpq.br/3795412733352592 | |
dc.creator | Caramello Junior, Francisco Carlos | |
dc.date.accessioned | 2016-08-30T20:19:00Z | |
dc.date.available | 2016-08-30T20:19:00Z | |
dc.date.created | 2016-08-30T20:19:00Z | |
dc.date.issued | 2014-02-27 | |
dc.identifier | CARAMELLO 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.identifier | https://repositorio.ufscar.br/handle/ufscar/7049 | |
dc.description.abstract | This 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.language | por | |
dc.publisher | Universidade Federal de São Carlos | |
dc.publisher | UFSCar | |
dc.publisher | Programa de Pós-Graduação em Matemática - PPGM | |
dc.publisher | Câmpus São Carlos | |
dc.rights | Acesso aberto | |
dc.subject | Geometria riemaniana | |
dc.subject | Folheações (Matemática) | |
dc.subject | Variedades (Matemática) | |
dc.subject | Geometry, Riemannian | |
dc.subject | Foliations (Mathematics) | |
dc.subject | Manifolds (Mathematics) | |
dc.title | Ações e folheações polares em variedades de Hadamard | |
dc.type | Tesis | |