Title :
The nilpotent tangent 3-dimensional sub-Riemannian problem is nonintegrable
Author :
Maciejewski, Andrzej J. ; Respondek, Witold
Author_Institution :
Inst. of Astron., Zielona Gora Univ., Poland
Abstract :
We prove that the geodesic equation in the nilpotent tangent case of the 3-dimensional sub-Riemannian problem is never integrable, except for two particular values of the classification parameter.
Keywords :
differential geometry; integration; 3-dimensional subRiemannian problem; classification parameter; geodesic equation; nilpotent tangent case; Astronomy; Equations; Geometry; Image converters; Vectors;
Conference_Titel :
Decision and Control, 2004. CDC. 43rd IEEE Conference on
Conference_Location :
Nassau
Print_ISBN :
0-7803-8682-5
DOI :
10.1109/CDC.2004.1428669
