Memorias de investigación
Artículos en revistas:
Inverse problem for Lagrangian systems on Lie algebroids and applications to reduction by symmetries
Año:2016
Áreas de investigación
  • Física química y matemáticas
Datos
Descripción
The language of Lagrangian submanifolds is used to extend a geometric characterization of the inverse problem of the calculus of variations on tangent bundles to regular Lie algebroids. Since not all closed sections are locally exact on Lie algebroids, the Helmholtz conditions on Lie algebroids are necessary but not sufficient, so they give a weaker definition of the inverse problem. As an application the Helmholtz conditions on Atiyah algebroids are obtained so that the relationship between the inverse problem and the reduced inverse problem by symmetries can be described. Some examples and comparison with previous approaches in the literature are provided.
Internacional
Si
JCR del ISI
Si
Título de la revista
Monatshefte Für Mathematik
ISSN
0026-9255
Factor de impacto JCR
Información de impacto
Volumen
DOI
10.1007/s00605-016-0893-1
Número de revista
Desde la página
665
Hasta la página
691
Mes
AGOSTO
Ranking
Esta actividad pertenece a memorias de investigación
Participantes
  • Autor: Maria Barbero Liñan UPM
  • Autor: Marta Farré Puiggalí ICMAT
  • Autor: David Martñin de Diego CSIC
Grupos de investigación, Departamentos, Centros e Institutos de I+D+i relacionados
  • Creador: Departamento: Matemática Aplicada