Repositorio UMSNH

Listar Tesis por autor "Bayard, Pierre Michel"

Listar Tesis por autor "Bayard, Pierre Michel"

Ordenar por:Orden:Resultados:

  • Aplicación de Gauss de una superficie de tipo espacio en el espacio de Minkowski de dimensión cuatro 
    Sedano Mendoza, Manuel (Universidad Michoacana de San Nicolás de Hidalgo, 2010-08)
    Each surface oriented M ? R 3, the Gaussian application of the surface G: M ? S 2 completely determines the second fundamental form by means of its differential, which has as its only invariants its trace and its determinant: ...
  • Ecuación de Gauss espinorial 
    Zavala Jiménez, Berenice (Universidad Michoacana de San Nicolás de Hidalgo. Universidad Nacional Autónoma de México, 2015-07)
    In this job we give a short introduction to spin geometry; we introduce Cliford algebras, spin groups and spin structures. Furthermore, in order to construct the Gauss' formula in this context, we define the Cliford spinor ...
  • Flujo de curvatura media de una superficie en R4 
    Méndez González, Miguel Ángel (Universidad Michoacana de San Nicolás de Hidalgo, 2012-01)
    In the theory of surfaces in Rn, the curvature of Gauss K and the vector of mean curvature H play a fundamental role. They are two-order invariants of a surface, but of a very different nature: the Gauss curvature is an ...
  • Medidas complejas y Teoremas de Representación 
    Calderón Andrade, Alina Ixchel (Universidad Michoacana de San Nicolás de Hidalgo, 2008-05)
    In this thesis we study the notion of complex measures and their use in representation theorems. The first chapter consists of the definitions of complex measure, measure of total variation, absolutely continuous measures ...
  • El problema de Minkowski 
    Patty Yujra, Victor Hugo (Universidad Michoacana de San Nicolás de Hidalgo. Universidad Nacional Autónoma de México, 2012-06)
    This paper is divided into three chapters. In the first chapter, we developed the generalized solution of Minkowski's problem, in where we make use of various results of the theory of convex bodies [10]. Main Results of ...
  • Representación espinorial de superficies lorentzianas en R2,2 
    Patty Yujra, Víctor Hugo (Universidad Michoacana de San Nicolás de Hidalgo, 2016-08)
    The study object of the thesis is the spinor representation of a Lorentzian surface in the pseudo Euclidean space R2; 2: We prove that an isometric immersion of a simply connected Lorentzian surface in R2; 2 is equivalent ...
  • Rigidez de superficies y problema de Weyl 
    Sedano Mendoza, Manuel (Universidad Michoacana de San Nicolás de Hidalgo. Universidad Nacional Autónoma de México, 2012-08)
    In chapter one, we introduce the notion of infinitesimal deformation and infinitesimal rigidity of a regular surface in R 3 and using the integral formula of Blaschke, equation (1.9), we demonstrate the infinitesimal ...
  • Sobre el problema de Minkowski en Rn,1 
    Julio Batalla, Jurgen Alfredo (Universidad Michoacana de San Nicolás de Hidalgo. Universidad Nacional Autónoma de México, 2015-01)
    A special case of the problem of Minkowski on hypersurfaces of space type in Rn;1 is discussed which translates in terms of differential equations to solve an equation of Monge-Ampére type, are simplified such equation ...
  • Sobre las medidas minimizantes de Lagrangianos periódicos sobre el círculo 
    Hernández Martínez, Dora Nancy (Universidad Michoacana de San Nicolás de Hidalgo. Universidad Nacional Autónoma de México, 2010-11)
    One of our objectives is that this text is self-contained, so we dedicate the first chapters to the bases of the Lagrangian theory and minimizing measures. In the first chapter we introduce the definition of Tonelli's ...

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