2000 character limit reached
Extremal curves in nilpotent Lie groups
Published 17 Jul 2012 in math.DG, math.AP, math.GR, math.MG, and math.OC | (1207.3985v2)
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.
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Top Community Prompts
Collections
Sign up for free to add this paper to one or more collections.