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Classificação das hipersuperfícies paralelas e semi-paralelas em S^nxR
(Universidade Federal de São Carlos, 2015-03-30)
The aim of this Masters dissertation is to show a classication of parallel and semi-parallel hypersurfaces of Sn _ R, based on the work of Joeri Van der Veken and Luc Vrancken, in [12].
The classification that we will ...
Problemas elípticos superlineares com ressonância
(Universidade Federal de São Carlos, 2015-08-14)
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, 2015-06-09)
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 ...
Imersões isométricas de formas espaciais em Sn x R e Hn x R
(Universidade Federal de São Carlos, 2015-06-08)
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 ...
Estudo de nova fórmula de caracteres para representações de Álgebra de Lie semissimples
(Universidade Federal de São Carlos, 2015-08-28)
The objective of this dissertation is descrive formally the irreducible representations of finitedimensional semisimple Lie algebras g over a field F algebraically closed with characteristic zero, as also get some multiplicity ...
O produto tensorial não abeliano de grupos e aplicações
(Universidade Federal de São Carlos, 2015-04-22)
The nonabelian tensor square GG of a group G was introduced by R. K.
Dennis [8] in a search for new homology functors having a close relationship to
K-theory and it is based on the work of C. Miller [14]. Subsequently ...
Teoria do grau topológico e sua aplicação em um problema elíptico ressonante superlinear
(Universidade Federal de São Carlos, 2015-08-13)
In this work, we will show an important tool of nonlinear analysis, which has great
applicability in partial differential equations: the topological degree theory. We will
construct the topological degree in finite and ...
Classificação das hipersuperfícies lorentzianas de R1n para Rn1+1
(Universidade Federal de São Carlos, 2015-12-16)
In this dissertation we present a result of classi cation of isometric hypersurfaces between Lorentz-Minkowski spaces due to L. K. Graves [5], which generalizes a classic theorem of Hartman and Nirenberg [7], where ...
Distribuições suportadas em um hiperplano e o espaço de Hardy hp(Rn)
(Universidade Federal de São Carlos, 2015-08-26)
The main aim of this work is to study necessary and sufficient conditions for a distribution, whose compact support is contained in a hyperplane, to be in the local Hardy space hp(Rn).
Bifurcação e estabilidade de equilíbrios de um problema de Neumann parabólico com peso indefinido em genética populacional
(Universidade Federal de São Carlos, 2015-03-30)
This work is concerned with a semilinear parabolic partial differential equation under a homogeneous Neumann boundary condition occuring in population genetics. It describes the evolution of gene frequencies under selection ...