CONTROLLABILITY BY ABNORMAL CURVES OF 3-D IMENSIONAL DISTRIBUTIONS ONCONNECTED MANIFOLDS OF DIMENSION-5 AND DIMENSION-6

Authors
MORMUL P PELLETIER F
Citation
P. Mormul et F. Pelletier, CONTROLLABILITY BY ABNORMAL CURVES OF 3-D IMENSIONAL DISTRIBUTIONS ONCONNECTED MANIFOLDS OF DIMENSION-5 AND DIMENSION-6, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 322(9), 1996, pp. 865-868
Citations number
11
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
322
Issue
9
Year of publication
1996
Pages
865 - 868
Database
ISI
SICI code
0764-4442(1996)322:9<865:CBACO3>2.0.ZU;2-E
Abstract
The aim of this Note is to prove that for 3-dimensional distributions on connected manifolds of dimension 5 and 6, having everywhere maximal growth vector, any two points can be joined by a finite concatenation of smooth abnormal horizontal curves.