## A family of nonminimizing abnormal curves

- R. Monti
- Ann. Mat. Pura Appl
- 2013

@inproceedings{Donne2013ExtremalPI, title={Extremal Polynomials in Stratified Groups}, author={Enrico Le Donne and Gian Paolo Leonardi and Roberto Monti and Davide Vittone}, year={2013} }

- Published 2013

We introduce a family of extremal polynomials associated with the prolongation of a stratified nilpotent Lie algebra. These polynomials are related to a new algebraic characterization of abnormal subriemannian geodesics in stratified nilpotent Lie groups. They satisfy a set of remarkable structure relations that are used to integrate the adjoint equations.