Generic singularities of the 3D-contact sub-Riemannian conjugate locus

Benoît Bonnet; Jean-Paul Gauthier; Francesco Rossi

doi:10.1016/j.crma.2019.05.008

Optimal control/Differential geometry

Generic singularities of the 3D-contact sub-Riemannian conjugate locus
[Singularités génériques du lieu conjugé en géométrie sous-riemannienne dans le cas 3D-contact]

Présenté par : Jean-Michel Coron

Benoît Bonnet ¹ ; Jean-Paul Gauthier ¹ ; Francesco Rossi ²

¹ Aix Marseille Université, CNRS, ENSAM, Université de Toulon, LIS, Marseille, France
² Dipartimento di Matematica “Tullio Levi-Civita”, Università degli Studi di Padova, Padova, Italy

Comptes Rendus. Mathématique, Volume 357 (2019) no. 6, pp. 520-527.

Résumé
Abstract

Dans cet article, nous étendons et achevons la classification des singularités génériques du lieu conjugué sous-riemannien 3D-contact au voisinage de l'origine.

In this paper, we extend and complete the classification of the generic singularities of the 3D-contact sub-Riemmanian conjugate locus in a neighborhood of the origin.

Reçu le : 2018-11-27
Accepté le : 2019-06-06
Publié le : 2019-06-01

DOI : 10.1016/j.crma.2019.05.008

Affiliations des auteurs :

Benoît Bonnet ¹ ; Jean-Paul Gauthier ¹ ; Francesco Rossi ²

¹ Aix Marseille Université, CNRS, ENSAM, Université de Toulon, LIS, Marseille, France
² Dipartimento di Matematica “Tullio Levi-Civita”, Università degli Studi di Padova, Padova, Italy

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     author = {Beno{\^\i}t Bonnet and Jean-Paul Gauthier and Francesco Rossi},
     title = {Generic singularities of the {3D-contact} {sub-Riemannian} conjugate locus},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {520--527},
     publisher = {Elsevier},
     volume = {357},
     number = {6},
     year = {2019},
     doi = {10.1016/j.crma.2019.05.008},
     language = {en},
}

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Benoît Bonnet; Jean-Paul Gauthier; Francesco Rossi. Generic singularities of the 3D-contact sub-Riemannian conjugate locus. Comptes Rendus. Mathématique, Volume 357 (2019) no. 6, pp. 520-527. doi : 10.1016/j.crma.2019.05.008. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2019.05.008/

Bibliographie
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