Ontology type: schema:ScholarlyArticle Open Access: True
2017-07
AUTHORSDavide Barilari, Ugo Boscain, Enrico Le Donne, Mario Sigalotti
ABSTRACTIn this paper, we study the sub-Finsler geometry as a time-optimal control problem. In particular, we consider non-smooth and non-strictly convex sub-Finsler structures associated with the Heisenberg, Grushin, and Martinet distributions. Motivated by problems in geometric group theory, we characterize extremal curves, discuss their optimality, and calculate the metric spheres, proving their Euclidean rectifiability. More... »
PAGES547-575
http://scigraph.springernature.com/pub.10.1007/s10883-016-9341-8
DOIhttp://dx.doi.org/10.1007/s10883-016-9341-8
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