Corpus ID: 41351130

THE PROBLEM OF GEODESICS, INTRINSIC DERIVATION AND THE USE OF CONTROL THEORY IN SINGULAR SUB-RIEMANNIAN GEOMETRY

@inproceedings{Pelletier1996THEPO,
  title={THE PROBLEM OF GEODESICS, INTRINSIC DERIVATION AND THE USE OF CONTROL THEORY IN SINGULAR SUB-RIEMANNIAN GEOMETRY},
  author={F. Pelletier and L. Val and Ere Bouche},
  year={1996}
}
We try to convince geometers that it is worth using Control Theory in the framework of sub-Riemannian structures, not only to get necessary conditions for length- minimizing curves, but also, from the very beginning, to give a description of sub-Riemannian structures by means of a global control vector bundle. This method is particularly efficient in characterizing admissible metrics with rank singularities. Some examples are developed. 
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