A cotangent bundle Hamiltonian tube theorem and its applications in reduction theory 

    Teixidó Roman, Miguel (Fecha de defensa: 2015-03-27)

    The Marle-Guillemin-Sternberg (MGS) model is an extremely important tool for the theory of Hamiltonian actions on symplectic manifolds. It has been extensively used to prove many local results both in symplectic geometry ...

    Geometrical structures of higher-order dynamical systems and field theories 

    Prieto Martínez, Pere Daniel (Fecha de defensa: 2014-10-02)

    Geometrical physics is a relatively young branch of applied mathematics that was initiated by the 60's and the 70's when A. Lichnerowicz, W.M. Tulczyjew and J.M. Souriau, among many others, began to study various topics ...

    Problemas Geométricos en Morfología Computacional 

    Claverol Aguas, Mercè (Fecha de defensa: 2004-07-16)

    Esta tesis se divide en dos partes. La primera parte contiene el estudio de tres pesos o profundidades, asociados a conjuntos finitos de puntos en el plano: el peso definido por las capas convexas, convex depth (introducido ...

    Una Formalització de les construccions geomètriques 

    Tramuns Figueras, Eulàlia (Fecha de defensa: 2012-07-18)

    Geometric constructions have been studied by mathematicians from ancient Greece until now. Although most attention has been given by the ruler and compass, during the last decades interest in this subject has revived, and ...