Now showing items 1-13 of 13

• #### 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 ...
• #### 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 ...
• #### Equisingularidades de funções definidas em ICIS e IDS ﻿

(Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 10/03/2020)
We study the equisingularity of a family of function germs $\{f_t\colon(X_t,0)\to (\mathbb{C},0)\}$, where $\{(X_t,0)\}$ is a family of $d$-dimensional isolated determinantal singularity. We define the $(d-1)$th polar ...
• #### Sobre o gênus de G-espaços e teoremas de coincidências ﻿

(Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, , 06/07/2010)
Let G be a finite group acting freely in a Hausdorff paracompact topological space X and let Y be a k-dimensional metrizable space (or k-dimensional CW-complex). In this work, by using the genus of X; gen(X;G), we prove ...
• #### Problemas elípticos superlineares com ressonância ﻿

(Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 14/08/2015)
The aim of this work is to present results about the existence of non-trivial solutions for some classes of resonant and superlinear eliptic systems employing topological methods. More specifcally, we use a-priori bounds ...
• #### A transformação vetorial de Ribaucour para subvariedades de curvatura constante ﻿

(Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 09/06/2015)
In this work we obtain a reduction of the vectorial Ribaucour transformation that preserves the class of submanifolds with constant sectional curvature of space forms. As a consequence, a process is derived to generate ...
• #### Invariantes de singularidades em característica positiva ﻿

(Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 30/03/2020)
This dissertation mainly follows the works of \cite{Gr2} and \cite{Gr5}. Considering $\mathbb{K}$ a field, algebraically closed with positive characteristic, we presented invariants of singularities in \$\mathbb{K}[[\u ...
• #### Aspectos homológicos e homotópicos do teorema de Borsuk-Ulam ﻿

(Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 20/02/2011)
The objetive of this work is to generalize the classic Borsuk-Ulam's Theorem. We studied there generalizations with respect to any comapact and Hausdor T- space. We used in the proofs the Z2-index of Yang and the B-index. ...
• #### Hipersuperfícies conformemente euclidianas com curvatura média ou escalar constante ﻿

(Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 10/11/2016)
In this work we study conformally flat hypersurfaces f: M3 ^ Q4(c) with three distinct principal curvatures in a space form with constant sectional curvature c, under the assumption that either its mean curvature H or its ...
• #### Superfícies de Curvatura Média Constante no Espaço Euclidiano ﻿

(Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 19/03/2019)
This paper deals with the surfaces of constant mean curvature in the Euclidean space. The first part of the text is devoted to minimal surfaces. We begin our studies with the Enneper-Weirstrass Representation Theorem and ...
• #### Germes de funções sobre variedades analíticas ﻿

(Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, , 03/03/2006)
The study of analytic germs of functions (Cn, 0) &#8594; (C, 0) under R - equivalence relation is a central point in Singularity Theory and the information we have in this direction is very rich. In this dissertation we ...
• #### Folheações riemannianas e geodésicas fechadas em orbifolds ﻿

(Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 04/03/2016)
The present thesis is devoted to the study of closed geodesics in some types of orbifolds. First, we present the notion of Riemannian foliation and their equivalent definitions using foliation atlas and Riemannian submersions. ...
• #### Superfícies mínimas e a teoria min-max de Almgren--Pitts ﻿

(Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 07/08/2019)
First, we introduce the basic concept of minimal surfaces and develop some results in the general theory of minimal surfaces. In the second part, we are interested in the Simon-Smith Min-Max approach to prove the existence ...