Planas Bahí, Arnau (Date of defense: 2020-09-30)
This thesis explores classification and perturbation problems for group actions on a class of Poisson manifolds called $b^m$-Poisson manifolds. $b^m$-Poisson manifolds are manifolds which are symplectic ...
Kiesenhofer, Anna (Date of defense: 2016-12-21)
The study of b-symplectic manifolds was initiated in 2012 by the works of Victor Guillemin, Eva Miranda and Ana Rita Pires (Adv. Math. 264 (2014), 864¿896). These manifolds, which can be understood as ...
Cardona Aguilar, Robert (Date of defense: 2021-05-26)
In this thesis, we make a deep investigation of the geometry and dynamics of several objects (singular or not) appearing in nature. The main goal is to study rigidity versus flexibility dynamical behavior ...
Oms, Cédric (Date of defense: 2020-10-02)
In this thesis, we study the Reeb and Hamiltonian dynamics on singular symplectic and contact manifolds. Those structures are motivated by singularities coming from classical mechanics and fluid ...
Braddell, Róisín (Date of defense: 2021-02-17)
In this thesis, we study the application of symplectic geometry, regular and singular, to symplectic dynamical systems.We start with a motivating case: the relation between symplectic foliations and ...
Yániz Fernández, Francisco Javier (Date of defense: 2002-11-29)
El tratamiento intrínseco de cuestiones relacionadas con la Teoría de Control no lineal a través de la aplicación de técnicas propias de la geometría diferencial ha sido en los últimos años un tema de ...
Compta Creus, Albert (Date of defense: 2001-10-19)
Mitjançant tècniques geomètriques, abordem les qüestions següents:<br/><br/>(i) Estudi (caracterització, classificació, famílies diferenciables,...) d'una classe destacada de subespais invariants, els ...
Monreal, Amadeo (Date of defense: 2001-12-17)
En primer lloc, s'evidencia que el disseny que involucra grafisme es pot analitzar com articulat en dos nivells o etapes, un de concepció, intel·lectual, i un altre d'execució, manual o físic, ambdós ...
Vrioni, Brikena (Date of defense: 2021-10-29)
An algebraic variety defined over a field is said to have Diophantine stability for an extension of this field if the variety does not acquire new points in the extension. Diophantine stability has a ...
Garrote López, Marina (Date of defense: 2021-07-22)
Phylogenetics is the study of the evolutionary history and relationships among groups of biological entities (called taxa). The modeling of those evolutionary processes is done by phylogenetic trees ...