The projective symplectic geometry of higher order variational problems: minimality conditions
Symplectic Geometry
2015-10-12 v1 Mathematical Physics
math.MP
Abstract
We associate curves of isotropic, Lagrangian and coisotropic subspaces to higher order, one parameter variational problems. Minimality and conjugacy properties of extremals are described in terms of these curves.
Keywords
Cite
@article{arxiv.1510.02762,
title = {The projective symplectic geometry of higher order variational problems: minimality conditions},
author = {C. Durán and D. Otero},
journal= {arXiv preprint arXiv:1510.02762},
year = {2015}
}