The projective symplectic geometry of higher order variational problems: minimality conditions

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.

References in corpus (3)

• Curvature: a variational approach
• Zermelo navigation in pseudo-Finsler metrics
• Geometry of Fanning Curves in Divisible Grassmannians