Lagrangian submanifolds and the Hamilton-Jacobi equation Articles uri icon

authors

  • BARBERO LI√ĎAN, MARIA
  • LEON RODRIGUEZ, MANUEL DE
  • MARTIN DE DIEGO, DAVID

publication date

  • September 2013

start page

  • 269

end page

  • 290

issue

  • 3-4

volume

  • 171

International Standard Serial Number (ISSN)

  • 0026-9255

Electronic International Standard Serial Number (EISSN)

  • 1436-5081

abstract

  • Lagrangian submanifolds are becoming a very essential tool to generalize and geometrically understand results and procedures in the area of mathematical physics. The geometric version of the Hamilton-Jacobi equation in terms of Lagrangian submanifolds enables here some novel interesting applications of the Hamilton-Jacobi equation in holonomic, nonholonomic and time-dependent dynamics from a geometrical point of view.

keywords

  • lagrangian submanifolds; hamilton–jacobi equation; holonomic and nonholonomic; hamilton–jacobi equation; time-dependent hamilton–jacobi equation; 37j60; 53d05; 53d12; 70h20