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Search - Shortest Paths for Sub-Riemannian Metrics on Rank-Two Distributions (Memoirs of the American Mathematical Society)

Shortest Paths for Sub-Riemannian Metrics on Rank-Two Distributions (Memoirs of the American Mathematical Society)
Shortest Paths for SubRiemannian Metrics on RankTwo Distributions - Memoirs of the American Mathematical Society
Author: Wensheng Liu, Hector J. Sussmann
This work studies length-minimizing arcs in sub-Riemannian manifolds $(M, E, G)$ where the metric $G$ is defined on a rank-two bracket-generating distribution $E$. The authors define a large class of abnormal extremals---the "regular" abnormal extremals---and present an analytic technique for proving their local optimality. If $E$ sati...  more »
ISBN-13: 9780821804049
ISBN-10: 0821804049
Pages: 104
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Publisher: American Mathematical Society
Book Type: Paperback
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