Calculus of Variations and Geometric Measure Theory
home | mail | papers | authors | news | seminars | events | open positions | login

E. Le Donne - G. P. Leonardi - R. Monti - D. Vittone

Extremal polynomials in stratified groups

created by vittone on 19 Jul 2013
modified by monti on 28 Nov 2016

[BibTeX]

Accepted Paper

Inserted: 19 jul 2013
Last Updated: 28 nov 2016

Journal: Comm. Anal. and Geom.
Year: 2016

Abstract:

We introduce a family of extremal polynomial 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.

Keywords: Carnot groups, SubRiemannian geometry, Abnormal extremals, Extremal polynomials


Download:

Credits | Cookie policy | HTML 4.0.1 strict | CSS 2.1