caa a22 4500 477118348 CHVBK 20180405111628.0 cr unu---uuuuu 170330e19960701xx s 000 0 eng 10.1007/BF02269424 doi (NATIONALLICENCE)springer-10.1007/BF02269424 Small sub-Riemannian balls on R 3 [Elektronische Daten] [El-H. El-Alaoui, J. Gauthier, I. Kupka] This paper deals with sub-Riemannian metrics onR 3 in the contact case. We study the singularities of the exponential mapping in the neighborhood of its pole. This is in stark contrast with the Riemannian case where this situation never occurs. Plenum Publishing Corporation, 1996 Sub-Riemannian geometry nationallicence contact structure nationallicence differential invariant nationallicence normal form nationallicence conjugate locus nationallicence El-Alaoui El-H INSA de Rouen, Department of Mathematics, LMI, URA CNRS D 1378, Pl. E. Blondel, BP 08, 76131, Mont Saint Aignan cedex, France aut Gauthier J. Laboratoire de Mathématiques, AMS-LMI, URA CNRS 1378, INSA de Rouen, Place Emile Blondel, BP08, 76131, Mont-Saint-Aignan Cedex, France aut Kupka I. Department of Mathematics, University of Paris VI, 4 Pl. Jussieu, 75232, Paris cedes 05, France aut Journal of Dynamical and Control Systems Kluwer Academic Publishers-Plenum Publishers 2/3(1996-07-01), 359-421 1079-2724 2:3<359 1996 2 10883 https://doi.org/10.1007/BF02269424 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02269424 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- El-Alaoui El-H INSA de Rouen, Department of Mathematics, LMI, URA CNRS D 1378, Pl. E. Blondel, BP 08, 76131, Mont Saint Aignan cedex, France aut NATIONALLICENCE 700 1- Gauthier J. Laboratoire de Mathématiques, AMS-LMI, URA CNRS 1378, INSA de Rouen, Place Emile Blondel, BP08, 76131, Mont-Saint-Aignan Cedex, France aut NATIONALLICENCE 700 1- Kupka I. Department of Mathematics, University of Paris VI, 4 Pl. Jussieu, 75232, Paris cedes 05, France aut NATIONALLICENCE 773 0- Journal of Dynamical and Control Systems Kluwer Academic Publishers-Plenum Publishers 2/3(1996-07-01), 359-421 1079-2724 2:3<359 1996 2 10883 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer