A note on Carnot geodesics in nilpotent Lie groups
Author:
Publisher
Springer Science and Business Media LLC
Subject
Control and Optimization,Numerical Analysis,Algebra and Number Theory,Control and Systems Engineering
Link
http://link.springer.com/content/pdf/10.1007/BF02255895.pdf
Reference12 articles.
1. R. W. Brockett, Control theory and singular Riemannian geometry. In: New Directions in Applied Mathematics. (P. J. Hilton and G.S. Young eds.),Springer-Verlag, 1981.
2. R. Bryant and L. Hsu, Rigidity of integral curves of rank-2 distributions.Invent. Math. 114 (1993).
3. B. Gaveau, Principe de moindre action, propagation de la chaleur et estimées sous elliptiques sur certains groupes nilpotents.Acta Math. 139 (1977), 94–153.
4. M. gromov, Carnot-Caratheodory spaces seen from within.Preprint IHES, 1994.
5. U. Hamenstädt, Some regularity theorems for Carnot-Caratheodory metrics.Differ. Geom. 32 (1990), 819–850.
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