Browsing Teses e dissertações by Subject "Geometria"

Now showing items 1-7 of 7

    • Teorema de holonomia normal 

      Chion Aguirre, Sergio Julio (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, , 30/08/2013)
      In this work we will introduce the concept of normal holonomy and restricted normal holonomy of a riemannian submanifold. They are subgroups of the orthogonal matrices that are realized from parallel translating normal ...

    • Teorema de Schur no plano de Minkowski e caracterização de hélices inclinadas no espaço de Minkowski 

      Ramos, Luciano de Melo (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, , 27/06/2013)
      A classical theorem of differential geometry of curves in Euclidean space is the Schur's Theorem, that was proof by A. Schur in 1921, when both curvatures agree pointwise [3]. The proof in the general case was proved in ...

    • As hipersuperfíces de Sbrana-Cartan 

      Bronzatti, Marinez (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, , 09/01/2013)
      In this work, based on the papers [5] and [6], we present the classification of Euclidean hypersurfaces that admit nontrivial isometric deformations, called Sbrana -Cartan hypersurfaces, by means of the Gauss parameterization.

    • Injetividade de aplicações polinomiais via resolubilidade de campos vetoriais 

      Braun, Francisco (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, , 19/08/2010)
      Let F : Rn → Rn be a polynomial map such that the derivative map DF(x) be invertible for each x ∈ Rn. In this work, using techniques of solvability of suitable vector fields, we investigate the role of the ...

    • A Equação de Codazzi em superfícies 

      Santos, Maria Rosilene Barroso dos (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, , 04/03/2011)
      In this work, based on the article The Codazzi Equation for Surfaces by Juan A. Aledo, José M. Espinar and José A. Gálvez [8], we describe some applications of an abstract theory for the Codazzi equation on surfaces. ...

    • Classificação das hipersuperfícies lorentzianas de R1n para Rn1+1 

      Escobar Montecino, Claudia Evelyn (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 16/12/2015)
      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 ...

    • Imersões isométricas em produtos de duas formas espaciais 

      Santos, Bruno Mendonça Rey dos (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, , 27/04/2012)
      In this thesis we study isometric immersions into products of two space forms using the approach introduced by Lira et al in [18]. Parallel isometric immersions into products of two space forms with nonzero sectional ...