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arXiv · 1307.5235

Extremal polynomials in stratified groups

Enrico Le Donne·Gian Paolo Leonardi·Roberto Monti·Davide Vittone
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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.

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Enrico Le Donne, Gian Paolo Leonardi, Roberto Monti, Davide Vittone. 2013-07-19. Extremal polynomials in stratified groups. https://arxiv.org/abs/1307.5235

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