Extremal polynomials in stratified groups
Differential Geometry
2013-07-22 v1 Analysis of PDEs
Group Theory
Metric Geometry
Optimization and Control
Abstract
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.
Cite
@article{arxiv.1307.5235,
title = {Extremal polynomials in stratified groups},
author = {Enrico Le Donne and Gian Paolo Leonardi and Roberto Monti and Davide Vittone},
journal= {arXiv preprint arXiv:1307.5235},
year = {2013}
}
Comments
25 pages