Exploració per tema "Differential geometry"
Ara es mostren els items 21-40 de 50
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Geometría de Lorentz : de lenguaje a herramienta básica en relatividad general
(2005-02-09)
Audiovisual
Accés obert"Desde que Einstein extendió el espacio-tiempo de Lorentz-Minkowski a una variedad de Lorentz curvada para modelar campos gravitatorios no nulos, la Geometría de Lorentz, en su aspecto local, ha sido la herramienta fundamental ... -
Global block-similarity and pole assignment of class C<sup>p</sup>
(1998)
Article
Accés obertStarting from the existence of a $C^{p}$-basis for any $C^{p}$-family of subspaces having constant dimension, we construct a Brunovsky basis of class $C^{p}$ for a $C^{p}$-family of pairs of matrices having constant ... -
Grups de matrius
(Universitat Politècnica de Catalunya, 2014-07)
Treball Final de Grau
Accés obertS'estudien els grups de matrius clàssics com per exemple el grup lineal, el grup ortogonal, el grup unitari o el grup simplectic, amb la finalitat d'introduir els grups de Lie. -
Hamilton-Jacobi theory in multisymplectic classical field theories
(2017-09-01)
Article
Accés obertThe geometric framework for the Hamilton-Jacobi theory developed in the studies of Carinena et al. [Int. J. Geom. Methods Mod. Phys. 3(7), 1417-1458 (2006)], Carinena et al. [Int. J. Geom. Methods Mod. Phys. 13(2), 1650017 ... -
Hamiltonian Systems in Multisymplectic Field Theories
(2005-06-20)
Article
Accés obertWe consider Hamiltonian systems in first-order multisymplectic field theories. First we review the construction and properties of Hamiltonian systems in the so-called restricted multimomentum bundle using Hamiltonian ... -
Higher-order Cartan symmetries in k-symplectic field theory
(2008-04-30)
Article
Accés obertFor k-symplectic Hamiltonian field theories, we study infinitesimal transformations generated by certain kinds of vector fields which are not Noether symmetries, but which allow us to obtain conservation laws by means ... -
Hyper-Kähler geometry
(2017-11-29)
Audiovisual
Accés obertKähler geometry is a natural extension of complex projective geometry where the tools of Hodge theory are still available and allow to study the link between topology and complex geometry. The simplest examples of projective ... -
Integrable systems and group actions
(2011)
Report de recerca
Accés obertThe main purpose of this paper is to present in a uni¯ed approach to see di®erent results concerning group actions and integrable systems in symplectic, Poisson and contact manifolds. Rigidity problems for integrable systems ... -
k-cosymplectic formalism in classical field theory: the Skinner–Rusk approach
(2006-02-14)
Article
Accés obertThe k-cosymplectic Lagrangian and Hamiltonian formalisms of first-order field theories are reviewed and completed. In particular they are stated for singular almost-regular systems. After that, both formalisms are unified ... -
La conjetura del rango toral
(2006-05-11)
Audiovisual
Accés obertLa conjetura del rango toral predice que si tenemos dos variedades compactas y una aplicación entre ellas cuyas fibras son todas toros r-dimensionales, entonces la dimensión de la cohomología de la variedad inicial ha de ... -
Lie-algebroid formulation of k-cosymplectic classical field theories
(2009)
Comunicació de congrés
Accés restringit per política de l'editorialThe k-cosymplectic formalism is the generalization to field theories of the cosymplectic formalism, which is the geometric framework for describing non-autonomous dynamical systems. In [5], A. Weinstein introduced a new ... -
Els models del pla hiperbòlic de Beltrami
(Universitat Politècnica de Catalunya, 2016-07)
Treball Final de Grau
Accés obertEn aquest treball, presentem succintament el problema de les paral·leles generat a partir del cinquè postulat d'Euclides i comentem alguns intents de demostrar-lo. Introduïm la geometria hiperbòlica, que és la que s'obté ... -
Multisymplectic constraint analysis of scalar field theories, Chern-Simons gravity, and bosonic string theory
(Elsevier, 2023-02)
Article
Accés obertThe (pre)multisymplectic geometry of the De Donder–Weyl formalism for field theories is further developed for a variety of field theories including a scalar field theory from the canonical Klein-Gordon action, the electric ... -
Multisymplectic Lagrangian and Hamiltonian formalisms of First-order Classical Field theories
(2006-03-03)
Article
Accés obertThis review paper is devoted to presenting the standard multisymplectic formulation for describing geometrically first-order classical field theories, both the regular and singular cases. First, the main features of the ... -
On a kind of Noether symmetries and conservation laws in k-cosymplectic field theory
(2010-09-15)
Report de recerca
Accés obertThis paper is devoted to studying symmetries of certain kinds of k-cosymplectic Hamiltonian systems in first-order classical field theories. Thus, we introduce a particular class of symmetries and study the problem of ... -
On some aspects of the geometry of non integrable distributions and applications
(American Institute of Mathematical Sciences, 2018-12-01)
Article
Accés obertWe consider a regular distribution D in a Riemannian manifold (M, g). The LeviCivita connection on (M, g) together with the orthogonal projection allow to endow the space of sections of D with a natural covariant derivative, ... -
On the k-symplectic, k-cosymplectic and multisymplectic formalisms of classical field theories
(2007-05-31)
Article
Accés obertThe objective of this work is twofold: First, we analyze the relation between the kcosymplectic and the k-symplectic Hamiltonian and Lagrangian formalisms in classical field theories. In particular, we prove the equivalence ... -
Orbits of unbounded energy in quasi-periodic perturbations of geodesic flows
(2003)
Article
Accés obertWe show that certain mechanical systems, including a geodesic °ow in any dimension plus a quasi-periodic perturbation by a potential, have orbits of unbounded energy. The assumptions we make in the case of geodesic °ows ... -
Path planning for active tensegrity structures
(2016-01-01)
Article
Accés obertThis paper presents a path planning method for actuated tensegrity structures with quasi-static motion. The valid configurations for such structures lay on an equilibrium manifold, which is implicitly defined by a set of ... -
Poisson cohomology: old and new
(Universitat Politècnica de Catalunya, 2023-06)
Projecte Final de Màster Oficial
Accés obertEn aquest treball de fi de màster provem nous resultats sobre la cohomologia de Poisson d'una classe important de varietats de Poisson: les varietats de $b^m$-Poisson. Per $m = 1$, els resultats obtinguts són coneguts i ...
