Browsing Matemática - PPGM by CNPq Subject "CIENCIAS EXATAS E DA TERRA::MATEMATICA::GEOMETRIA E TOPOLOGIA"
Now showing items 21-31 of 31
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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 ... -
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 ... -
Sobre teoremas do tipo Tverberg
(Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 17/12/2020)The main objective of this work is to prove Tverberg-type theorems and related results. More specifically, we will present an alternative proof for the Bárány-Larman conjecture for the case $r = p-1 $ with $ p $ a prime, ... -
Grupos de tranças de superfícies finitamente perfuradas e grupos cristalográficos
(Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 07/12/2020)The link between braid groups on surfaces and crystallographic groups has become such an interesting topic. In the last years some advances were found in the studies of this relation, specially in the case of Artin braid ... -
Fecho integral de módulos, multiplicidades e poliedros de Newton
(Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 03/08/2022)In this work, we study the integral closure of ideals, Newton polyhedra and Newton non-degenerate ideals. Moreover, we present generalizations of these concepts for modules then, we study the characterization of Newton ... -
Compactly-supported and relative integration in differential cohomology
(Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 11/04/2022)In this work, we have constructed more general versions of differential integration maps in differential cohomology theories. Among the obtained versions we can mention the integration with compact supports, the integration ... -
Involuções fixando RP(6)URP(2n) e variedades compatíveis com o ponto com respeito à involuções
(Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 25/11/2020)In this work, we have two objectives: the first lives in the context of the classification, up to equivariant cobordism, of the pairs (M, T) , where M is a closed and smooth manifold and T is a smooth involution ... -
Twisted Borel K-theory and isomorphisms between differential models of K-theory
(Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 04/07/2022)In this thesis we discuss some topics about twisted K-theory calculations and equivalences between a couple of differential extension models. We start with a mathematical review of models for twisted K-theory, differential ... -
Differential cohomology on maps of pairs and relative-parallel product
(Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 06/10/2021)In this thesis, we study three important topics. The first one provides an axiomatic framework to differential cohomology on maps of pairs of topological spaces, introducing the product between relative and parallel classes. ... -
Ações de Z2k com o conjunto de pontos fixos conexo e a propriedade CP
(Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 27/10/2021)It is well known that if $\phi:G \times M^m \rightarrow M^m$ is a smooth action of a compact Lie group on a closed smooth manifold, then its fixed point set $F_{\phi} = \bigcup\limits_{i=0}^{n}F^{i}$ is a disjoint union ... -
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 ...