Browsing Matemática - PPGM by Advisor "Figueiredo Junior, Ruy Tojeiro de"

Now showing items 1-8 of 8

    • Euclidean hypersurfaces with genuine conformal deformations in codimension two 

      Chion Aguirre, Sergio Julio (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 05/01/2018)
      We classify hypersurfaces f:Mn → Rn+1 with a principal curvature of multiplicity n − 2 that admit a genuine conformal deformation f':Mn → Rn+2. That a conformal deformation f':Mn → Rn+2 of f is genuine means that there ...

    • 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.

    • G-variedades riemannianas como hipersuperfícies de formas espaciais 

      Gonçalves, Ion Moutinho (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, , 20/02/2006)
      (See full text for download) It is proved that an isometric immersion f: Mn ! Qn+1 c of a compact Riemannian mani-fold of dimension n ¸ 3 into a space form of dimension n + 1 is equivariant with respect to a Lie group ...

    • A transformação de Darboux-Bianchi para superfícies isotérmicas em R³. 

      Canevari, Samuel da Cruz (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, , 15/04/2004)
      In this work we develop the transformation theory for isothermic surfaces in Euclidean space IR3 due to Darboux and Bianchi. As a consequence, we describe a method for constructing new solutions of the nonlinear system of ...

    • 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. ...

    • A transformação vetorial de Ribaucour para subvariedades de curvatura constante 

      Guimarães, Daniel da Silveira (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 09/06/2015)
      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 

      Canevari, Samuel da Cruz (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 08/06/2015)
      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 ...

    • 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 ...