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math.SG2015
The projective symplectic geometry of higher order variational problems: minimality conditions
C. Durán, D. Otero
We associate curves of isotropic, Lagrangian and coisotropic subspaces to higher order, one parameter variational problems. Minimality and conjugacy properties of extremals are des…
math.SG2005
Geometric invariants of fanning curves
Juan Carlos Álvarez Paiva, Carlos E. Durán
We study the geometry of an important class of generic curves in the Grassmannian manifolds of -dimensional subspaces and Lagrangian subspaces of under the action of th…