TEDE Coleção:https://tedebc.ufma.br/jspui/handle/tede/12562026-04-15T11:52:03Z2026-04-15T11:52:03ZRigidez de esferas mínimas com área 4πCHAGAS, Larissa Santoshttps://tedebc.ufma.br/jspui/handle/tede/66242025-11-21T12:30:05Z2025-08-12T00:00:00ZTítulo: 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: Dissertação2025-08-12T00:00:00ZClasses homoclínicas e medidas de máxima entropiaVALE, Maria Carla Bulhão de Queirós Andradehttps://tedebc.ufma.br/jspui/handle/tede/66122025-11-13T12:07:38Z2025-08-13T00:00:00ZTítulo: 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: Dissertação2025-08-13T00:00:00ZMétodos analíticos para as desigualdades de Bennett e Kahane–Salem–ZygmundRIBEIRO, Fábio Almeidahttps://tedebc.ufma.br/jspui/handle/tede/63382025-07-11T14:13:15Z2025-03-14T00:00:00ZTítulo: 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: Dissertação2025-03-14T00:00:00ZEquilíbrios e estabilidade linear no problema restrito circular de três corposSILVA, Carlos Eduardo Sousahttps://tedebc.ufma.br/jspui/handle/tede/63132025-07-07T12:33:32Z2024-10-24T00:00:00ZTítulo: 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: Dissertação2024-10-24T00:00:00Z