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.
Extremal polynomials in stratified groups / Enrico, Le Donne; Leonardi, Gian Paolo; Roberto, Monti; Davide, Vittone. - In: COMMUNICATIONS IN ANALYSIS AND GEOMETRY. - ISSN 1019-8385. - ELETTRONICO. - 2018, 26:4(2018), pp. 723-757. [10.4310/CAG.2018.v26.n4.a3]
Extremal polynomials in stratified groups
LEONARDI, Gian Paolo;
2018-01-01
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.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
LLMV2_final CAG.pdf
accesso aperto
Tipologia:
Post-print referato (Refereed author’s manuscript)
Licenza:
Tutti i diritti riservati (All rights reserved)
Dimensione
334.48 kB
Formato
Adobe PDF
|
334.48 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione
