Browsing by Advisor "Hartmann Junior, Luiz Roberto"
Now showing items 1-6 of 6
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Ações e folheações polares em variedades de Hadamard
(Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 27/02/2014)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 ... -
Determinante regularizado do Laplaciano e conjuntos isoespectrais em superfícies
(Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 27/02/2019)On compact surfaces with boundary, with some conditions in a conformal class, we study the problem about to find a metric with constant Gaussian curvature with boundary of constant geodesic curvature for which the regularized ... -
O princípio do máximo de Omori-Yau e generalizações
(Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, , 31/01/2014)In this work we seek to establish a first contact with Geometric Analysis, aiming the understanding of the Good Shadow Principle of Fontenele and Xavier ([FX11]), which is a generalization of the Omori-Yau Principle. We ... -
Sobre fibrados e poliedros de dimensão finita
(Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 01/02/2021)The objective of this work is to establish the existence of universal bundles and to relate this existence to finite dimension polyhedra. As a consequence, we present examples of universal bundles for the case of classic groups. -
Poliedros de Newton e invariantes de singularidades determinantais
(Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 31/01/2024)In this work, we study invariants of determinantal singularities, by analysing the Newton polyhedra which arise from the entries of a given matrix. The main contribution of this work is providing sufficient conditions, ... -
Torsion invariant on cellular complexes
(Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 20/08/2024)Classifying spaces up to homeomorphism, homotopy equivalence, or combinatorial equivalence is one of the main problems in Topology. To achieve this, we have several invariants in Algebraic Topology, such as Euler ...