Navegando por áreas do CNPq "CIENCIAS EXATAS E DA TERRA::MATEMATICA::GEOMETRIA E TOPOLOGIA::GEOMETRIA DIFERENCIAL"
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Imersões isométricas de formas espaciais em Sn x R e Hn x R
(Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 08/06/2015)In this thesis we classify the isometric immersions f : Mm ^ Sm+p x R with m > 3 P < m — ^d c < 1, where Mm denotes a Riemannian manifold with constant sectional curvature equal to c. We obtain partial results on the ... -
Projeto canhão : o ensino de funções quadráticas com o auxílio do software GeoGebra
(Universidade Federal de São Carlos, UFSCar, Programa de Mestrado Profissional em Matemática em Rede Nacional - PROFMAT, Câmpus São Carlos, 22/05/2015)This work presents the development and implementation of a didactic sequence in order to motivate and teach school students quadratic functions. To do this, we built a cannon made of tiner cans and prepared a serie of ... -
Polynomial Weingarten surfaces of tubular type
(Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 04/04/2022)This work seeks to contribute to the classification of Weingarten surfaces. More precisely, it fully classifies three families of surfaces (named tubular, cyclic and canal surfaces) in a tridimensional space form (Euclidean, ... -
Funções elíticas simétricas e aplicações em superfícies mínimas
(Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, , 24/04/2010)In 1989, H.Karcher elaborated a method for the construction of minimal surfaces, denominated reverse construction method given in [10]. In that work it was rewritten the theory of elliptic functions using an approach more ... -
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 ... -
Fluxo de curvatura média e self-shrinkers
(Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 12/06/2020)Mean curvature flow is a geometric flow that rises when evolving a hipersurface in the direction of its normal vector field with velocity at each point equal to the mean curvature at the very same point. As it is an evolution ... -
Pseudo-parallel immersions in SnxR and HnxR, and constant anisotropic mean curvature surfaces in R3
(Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 20/12/2019)In this Ph.D. thesis, we investigate two topics in Differential Geometry. The first topic refers to the study of pseudo-parallel submanifolds in the ambient spaces SnxR and HnxR. We complete the partial classification given ... -
Introdução à geometria diferencial e à análise complexa
(Universidade Federal de São Carlos, UFSCar, , Câmpus São Carlos, 06/01/2021)The paper "Conformal geometry, Euler numbers, and global invertibility in higher dimensions”, by Frederico Xavier, crosses different areas of Mathematics in order to obtain its main result. Among them we have Differential ... -
Pseudo-parallel immersions of Lorentzian manifolds in pseudo-Riemannian space forms
(Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 24/05/2024)In this Ph.D. thesis, we study pseudo-parallel submanifolds in pseudo-Riemannian space forms. We give a characterization of pseudo-parallel Lorentzian surfaces with non-flat normal bundle in pseudo-Riemannian space forms ...