Integrability of second-order Lagrangians admitting a first-order Hamiltonian formalism

Rosado María, María Eugenia and Muñoz Masqué, J. (2014). Integrability of second-order Lagrangians admitting a first-order Hamiltonian formalism. "Differential Geometry and its Applications" (n. 35); pp. 164-177. ISSN 0926-2245. https://doi.org/10.1016/j.difgeo.2014.04.006.

Description

Title: Integrability of second-order Lagrangians admitting a first-order Hamiltonian formalism
Author/s:
  • Rosado María, María Eugenia
  • Muñoz Masqué, J.
Item Type: Article
Título de Revista/Publicación: Differential Geometry and its Applications
Date: September 2014
ISSN: 0926-2245
Subjects:
Faculty: E.T.S. Arquitectura (UPM)
Department: Matemática Aplicada
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

Second-order Lagrangian densities admitting a first-order Hamiltonian formalism are studied; namely, i) necessary and sufficient conditions for the Poincaré–Cartan form of a second-order Lagrangian on an arbitrary fibred manifold p : E → N to be projectable onto J 1 E are explicitly determined; ii) for each of such Lagrangians, a first-order Hamiltonian formalism is developed and a new notion of regularity is introduced; iii) the variational problems of this class defined by regular Lagrangians areprovedtobeinvolutive

Funding Projects

TypeCodeAcronymLeaderTitle
Government of SpainMTM2011–22528UnspecifiedUnspecifiedUnspecified

More information

Item ID: 40055
DC Identifier: http://oa.upm.es/40055/
OAI Identifier: oai:oa.upm.es:40055
DOI: 10.1016/j.difgeo.2014.04.006
Official URL: http://www.sciencedirect.com/science/journal/09262245
Deposited by: Memoria Investigacion
Deposited on: 03 May 2016 07:08
Last Modified: 12 Jun 2019 10:42
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