Suppose that ? is a rank-two analytic distribution. The sheaf [?, ?] is coherent, contains ? and is everywhere locally generated by three derivations. More precisely, given a point x ? M and two generators X and Y of ? x , the derivations X, Y and ,
Introduction to Riemannian and sub-Riemannian geometry. Monograph ,
DOI : 10.4171/163-1/1
De nouvelles perspectives sur le th??or??me de Morse???Sard, Comptes Rendus de l'Acad??mie des Sciences - Series I - Mathematics, vol.332, issue.1, pp.13-17, 2001. ,
DOI : 10.1016/S0764-4442(00)01723-7
Singularities of holomorphic foliations, Journal of Differential Geometry, vol.7, issue.3-4, pp.279-342, 1972. ,
DOI : 10.4310/jdg/1214431158
The tangent space in sub-Riemannian geometry, pp.1-78, 1996. ,
Semianalytic and subanalytic sets. Publications mathématiques de l'I, pp.5-42, 1988. ,
DOI : 10.1007/bf02699126
URL : http://www.numdam.org/article/PMIHES_1988__67__5_0.pdf
Canonical desingularization in characteristic zero by blowing up the maximum strata of a local invariant, Inventiones Mathematicae, vol.128, issue.2, pp.207-302, 1997. ,
DOI : 10.1007/s002220050141
Functoriality in Resolution of Singularities, Publications of the Research Institute for Mathematical Sciences, vol.44, issue.2, pp.609-639, 2008. ,
DOI : 10.2977/prims/1210167338
Resolution of Singularities of an Algebraic Variety Over a Field of Characteristic Zero: II, The Annals of Mathematics, vol.79, issue.2, pp.109-203, 1964. ,
DOI : 10.2307/1970547
Introduction to real-analytic sets and real-analytic maps, 1973. ,
Lectures on resolution of singularities, Annals of Mathematics Studies, vol.166, 2007. ,
Generalized blow-up of corners and fiber products, Transactions of the American Mathematical Society, vol.367, issue.1, pp.651-705, 2015. ,
DOI : 10.1090/S0002-9947-2014-06222-3
URL : http://arxiv.org/abs/1107.3320
Ensembles semi-analytiques, IHES, 1965. ,
A tour of sub-Riemannian geometries, their geodesics and applications, Mathematical Surveys and Monographs, vol.91, 2002. ,
Introduction to the theory of analytic spaces. Lect. notes in math, 1966. ,
Resolution of singularities of real-analytic vector fields in dimension three, Acta Mathematica, vol.197, issue.2, pp.167-289, 2006. ,
DOI : 10.1007/s11511-006-0011-7
Sub-Riemannian Geometry and Optimal Transport, Springer Briefs in Mathematics ,
DOI : 10.1007/978-3-319-04804-8
URL : https://hal.archives-ouvertes.fr/hal-01131787
Singulì eres minimisantes en géométrie sous-riemannienne [d'après Hakavuori, Séminaire Bourbaki ,
Morse-Sard type results in sub-Riemannian geometry, Mathematische Annalen, vol.6, issue.1, pp.145-159, 2005. ,
DOI : 10.1007/s00208-004-0622-2
URL : https://hal.archives-ouvertes.fr/hal-00086340
Some results in the theory of real analytic spaces, Espaces Analytiques Acad. Roumanie, pp.149-157, 1969. ,
Id??aux de fonctions diff??rentiables. II, Ergebnisse der Mathematik und ihrer Grenzgebiete, 1972. ,
DOI : 10.5802/aif.341
Measure and Integral: An Introduction to Real Analysis, 1977. ,
Resolution of singularities of analytic spaces Proceedings of Gökova Geometry-Topology Conference, Gkova Geometry/Topology Conference (GGT), Gökova, pp.31-63, 2008. ,
Rigid paths of generic 2-distributions on 3-manifolds. Duke Math, J, vol.79, issue.2, pp.281-307, 1995. ,