We analyze the geometry of sub-Finsler Engel manifolds, computing a complete set
of local invariants for a large class of these manifolds. We derive geodesic equations for regular
geodesics and show that in the symmetric case, the rigid curves are local minimizers. We end by
illustrating our results with an example.
Publié le : 2007-12-15
Classification:
Sub-Finsler geometry,
Engel manifolds,
optimal control theory,
exterior differential systems,
Cartan’s method of equivalence,
53C17,
53B40,
49J15,
58A15,
53C10
@article{1209735317,
author = {Clelland, Jeanne N. and Moseley, Christopher G. and Wilkens, George R.},
title = {Geometry of Sub-Finsler Engel Manifolds},
journal = {Asian J. Math.},
volume = {11},
number = {4},
year = {2007},
pages = { 699-726},
language = {en},
url = {http://dml.mathdoc.fr/item/1209735317}
}
Clelland, Jeanne N.; Moseley, Christopher G.; Wilkens, George R. Geometry of Sub-Finsler Engel Manifolds. Asian J. Math., Tome 11 (2007) no. 4, pp. 699-726. http://gdmltest.u-ga.fr/item/1209735317/