https://tedebc.ufma.br/jspui/handle/tede/1255 O Programa de Mestrado em Matemática da UFMA tem como objetivo geral formar Mestres em Matemática Pura e Aplicada. Os Mestres em Matemática, formados pelo programa devem estar preparados para programas de doutorado em Matemática Pura e Aplicada no país e no exterior. Além disso, devem possuir habilitades profissionais para desenvolver atividades associadas à pesquisa, ao desenvolvimento científico e tecnológico e à docência superior no campo da Matemática. 2026-04-15T11:52:03Z https://tedebc.ufma.br/jspui/handle/tede/6624 Título: Rigidez de esferas mínimas com área 4π Autor: CHAGAS, Larissa Santos Primeiro orientador: NUNES, Ivaldo Paz Abstract: In this work, we will prove two theorems due to Mazet and Rosenberg in (Mazet; Rosenberg, 2014). These results characterize a complete Riemannian 3-manifold M under certain conditions. The first theorem requires that a sectional curvature of M satisfies 0 ≤ K ≤ 1, and states that if a minimal embedded 2-sphere Σ in M has area |Σ| equal to 4π, then M is isometric to a canonical sphere (S 3 , gcan) with sectional curvature equal to 1 or a quotient of the product S 2 × R. The second theorem is a rigidity theorem for hyperbolic cusps in which M has sectional curvature K ≤ −1, and states that if T is a torus of constant mean curvature equal to 1 embedded in M then the convex side of T in M is isometric to T 2 × R+(hyperbolic cusp). Instituição: Universidade Federal do Maranhão Tipo do documento: Dissertação 2025-08-12T00:00:00Z https://tedebc.ufma.br/jspui/handle/tede/6612 Título: Classes homoclínicas e medidas de máxima entropia Autor: VALE, Maria Carla Bulhão de Queirós Andrade Primeiro orientador: COSTA, José Santana Campos Abstract: This research studies homoclinic classes and maximizing entropy measures, with the objective of presenting the proof of the main theorems and corollaries studied in the Article Shub’s example revisited [30]. The uniqueness of the maximum entropy measure for a class of perturbations of the original system was analyzed. The specific objectives are: to expose initial concepts and results relevant to the understanding of the main theorems, to present the main theorems and to explain the contributions of the work to the academic community. This is a bibliographic research. Instituição: Universidade Federal do Maranhão Tipo do documento: Dissertação 2025-08-13T00:00:00Z https://tedebc.ufma.br/jspui/handle/tede/6338 Título: Métodos analíticos para as desigualdades de Bennett e Kahane–Salem–Zygmund Autor: RIBEIRO, Fábio Almeida Primeiro orientador: RAPOSO JUNIOR, Anselmo Baganha Abstract: The inequalities of Kahane-Salem-Zygmund and Bennett are probable results. that guarantees the existence of special matrices with ±1 inputs generating shapes unimodular m-linears with relatively small standards. We will address multilinear versions of the Kahane-Salem-Zygmund inequalities. Certain constants emerge in these inequalities, and an open problem is determining their exact values. This work aims to establish upper bounds for some Kahane-Salem-Zygmund inequality constants. Instituição: Universidade Federal do Maranhão Tipo do documento: Dissertação 2025-03-14T00:00:00Z https://tedebc.ufma.br/jspui/handle/tede/6313 Título: Equilíbrios e estabilidade linear no problema restrito circular de três corpos Autor: SILVA, Carlos Eduardo Sousa Primeiro orientador: CARVALHO, Adecarlos Costa Abstract: Results on Hamiltonian systems are presented, highlighting that their properties are preserved by symplectic transformations and stability results. Next, the formulation of the n-body problem is addressed, with emphasis on its most well-known classical cases: the two-body problem, whose first integrals are obtained through a symplectic transformation that describes the motion based on the system’s center of mass; and the description of the three-body problem, including its restricted and planar restricted cases. The general problem of charged n-bodies is also addressed, highlighting specific cases: the two-body charged problem, analyzing the behavior for different values of the constant C; and the circular restricted three-body charged problem, where, based on the mass and charge parameters, restrictions on the charge parameters are derived that allow the obtaining of equilibrium solutions (triangular and collinear) and the analysis of their stability. Instituição: Universidade Federal do Maranhão Tipo do documento: Dissertação 2024-10-24T00:00:00Z