Singular Lagrangians:
some geometric structures along the Legendre map

doi:10.1088/0305-4470/34/14/311

Singular Lagrangians: some geometric structures along the Legendre map

Xavier Gràcia et al 2001 J. Phys. A: Math. Gen. 34 3047-3070 doi: 10.1088/0305-4470/34/14/311

PDF (183 KB) | Gzipped PS (165 KB) | References | Articles citing this article

Xavier Gràcia¹ and Josep M Pons²
¹ Departament de Matemàtica Aplicada IV, Universitat Politècnica de Catalunya, Campus Nord UPC, edifici C3, C. Jordi Girona, 1, 08034 Barcelona, Catalonia, Spain
² Departament d'Estructura i Constituents de la Matèria, Universitat de Barcelona, and Institut de Física d'Altes Energies, Av. Diagonal 647, 08028 Barcelona, Catalonia, Spain
E-mail: xgracia@mat.upc.es and pons@ecm.ub.es

Abstract. New geometric structures that relate the Lagrangian and Hamiltonian formalisms defined upon a singular Lagrangian are presented. Several vector fields are constructed in velocity space that give new and precise answers to several topics such as the projectability of a vector field to a Hamiltonian vector field, the computation of the kernel of the presymplectic form of a Lagrangian formalism, the construction of the Lagrangian dynamical vector fields and the characterization of dynamical symmetries.

PACS numbers: 4520J, 0240V

Mathematics Subject Classification: 70G45, 70H45

Print publication: Issue 14 (13 April 2001)
Received 20 October 2000

Post to CiteUlike |

Post to Connotea |

Post to Bibsonomy

Singular Lagrangians: some geometric structures along the Legendre map

Find related articles

Article options

Authors & Referees