• 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 ...
    • Os sistemas completos de desigualdades propostos por Santaló 

      Santos, Bruno Mendonça Rey dos (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, , 20/03/2007)
      In 1961, Santaló[21] suggested that, considering the family of the convex bodies in R2, it was found a complete system of inequalities for each pair and each triple of the functions area, perimeter, diameter, inradius, ...
    • 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 ...
    • Funções elíticas simétricas e aplicações em superfícies mínimas 

      Hancco, Alvaro Julio Yucra (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, , 24/04/2010)
      In 1989, H.Karcher elaborated a method for the construction of minimal surfaces, denominated reverse construction method given in [10]. In that work it was rewritten the theory of elliptic functions using an approach more ...
    • Um teorema fundamental para hipersuperfícies em produtos torcidos semi-riemannianos 

      Melara Estrada, Mynor Ademar (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 15/03/2019)
      The aim of this dissertation is to show a demonstration of a fundamental theorem for existence of isometric immersions for hypersurfaces in a warped product space where the base is a interval and the fiber is a spatial ...
    • Torres de sela Scherk com gênero par arbitrário em R^3 

      Hancco, Alvaro Julio Yucra (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, , 25/02/2014)
      Starting from works by Scherk (1835) and by Enneper-Weierstraß (1863), new minimal surfaces with Scherk ends were found only in 1988 by Karcher (see [16, 17]). In the singly periodic case, Karcher s examples of positive ...