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Muñoz Masqué, Jaime and Pozo Coronado, Luis Miguel
(1998)
*Parameter-invariant second-order variational problems in one variable.*
Journal of physics A: Mathematical and general, 31
(29).
pp. 6225-6242.
ISSN 0305-4470

PDF
Restringido a Repository staff only 267kB |

Official URL: http://iopscience.iop.org/0305-4470/31/29/014/pdf/0305-4470_31_29_014.pdf

## Abstract

A projection is defined such that a second-order Lagrangian density factors through this projection module contact forms if and only if it is parameter invariant. In this way, a geometric interpretation of the parameter invariance conditions is obtained. The above projection is then used to prove the strict factorization of the Poincare-Cartan form attached to a parameter-invariant variational problem thus leading us to state the Hamilton-Cartan formalism, the complete description of symmetries and regularity for such problems. The case of the squared curvature Lagrangian in the plane is analysed especially.

Item Type: | Article |
---|---|

Uncontrolled Keywords: | Second-order Lagrangian density; Parameter invariance; Poincare-Cartan form; Squared curvature Lagrangian |

Subjects: | Sciences > Mathematics > Differential geometry |

ID Code: | 17496 |

Deposited On: | 20 Dec 2012 10:55 |

Last Modified: | 12 Dec 2018 15:13 |

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