Extremal Curves in Nilpotent Lie Groups View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2013-08

AUTHORS

Enrico Le Donne, Gian Paolo Leonardi, Roberto Monti, Davide Vittone

ABSTRACT

We classify extremal curves in free nilpotent Lie groups. The classification is obtained via an explicit integration of the adjoint equation in Pontryagin maximum principle. It turns out that abnormal extremals are precisely the horizontal curves contained in algebraic varieties of a specific type. We also extend the results to the nonfree case. More... »

PAGES

1371-1401

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s00039-013-0226-7

DOI

http://dx.doi.org/10.1007/s00039-013-0226-7

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1036557608


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