Extremal polynomials in stratified groups
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 sub-Riemannian extremals in stratified nilpotent Lie groups. They satisfy a set of remarkable structure relations that are used to integrate the adjoint equations, in both normal and abnormal case.
Main Authors
Format
Articles
Research article
Published
2018
Series
Subjects
Publication in research information system
Publisher
International Press
The permanent address of the publication
https://urn.fi/URN:NBN:fi:jyu-201903251954Käytä tätä linkitykseen.
Review status
Peer reviewed
ISSN
1019-8385
DOI
https://doi.org/10.4310/CAG.2018.v26.n4.a3
Language
English
Published in
Communications in Analysis and Geometry
Citation
- Le Donne, E., Leonardi, G. P., Monti, R., & Vittone, D. (2018). Extremal polynomials in stratified groups. Communications in Analysis and Geometry, 26(4), 723-757. https://doi.org/10.4310/CAG.2018.v26.n4.a3
License
Copyright© International Press of Boston, Inc.