EDP Sciences logo
Subscriber Authentication Point
Search
Menu
All issues Volume 28 (2022) ESAIM: COCV, 28 (2022) 75 References
Open Access
Issue
ESAIM: COCV
Volume 28, 2022
Article Number 75
Number of page(s) 20
DOI https://doi.org/10.1051/cocv/2022074
Published online 22 December 2022
  1. A.A. Agrachev, Any sub-Riemannian metric has points of smoothness. Dokl. Akad. Nauk 424 (2009) 295–298. [Google Scholar]
  2. A.A. Agrachev, Some open problems. In Geometric control theory and sub-Riemannian geometry. Vol. 5 of Springer INdAM Ser. Springer, Cham (2014) pp. 1–13. [Google Scholar]
  3. A.A. Agrachev, A. Gentile and A. Lerario, Geodesics and horizontal-path spaces in Carnot groups. Geom. Topol. 19 (2015) 1569–1630. [CrossRef] [MathSciNet] [Google Scholar]
  4. G. Alberti and A. Marchese, On the differentiability of Lipschitz functions with respect to measures in the Euclidean space. Geom. Funct. Anal. 26 (2016) 1–66. [CrossRef] [MathSciNet] [Google Scholar]
  5. A. Belotto da Silva, A. Figalli, A. Parusinski and L. Rifford, Strong Sard Conjecture and regularity of singular minimizing geodesics for analytic sub-Riemannian structures in dimension 3. Preprint available at arXiv:1810.03347. [Google Scholar]
  6. A. Belotto da Silva and L. Rifford, The Sard conjecture on Martinet surfaces. Duke Math. J. 167 (2018) 1433–1471. [CrossRef] [MathSciNet] [Google Scholar]
  7. F. Boarotto and D. Vittone, A dynamical approach to the Sard problem in Carnot groups. J. Differ. Equ. 269 (2020) 4998–5033. [CrossRef] [Google Scholar]
  8. R.L. Bryant, S.S. Chern, R.B. Gardner, H.L. Goldschmidt and P.A. Griffiths, Exterior differential systems. Vol. 18 of Mathematical Sciences Research Institute Publications. Springer-Verlag, New York (1991). [Google Scholar]
  9. Y. Chitour, F. Jean and E. Trélat, Genericity results for singular curves. J. Differ. Geom. 73 (2006) 45–73. [Google Scholar]
  10. E. Le Donne, G.P. Leonardi, R. Monti and D. Vittone, Extremal curves in nilpotent Lie groups. Geom. Funct. Anal. 23 (2013) 1371–1401. [CrossRef] [MathSciNet] [Google Scholar]
  11. E. Le Donne, G.P. Leonardi, R. Monti and D. Vittone, Extremal polynomials in stratified groups. Comm. Anal. Geom. 26 (2018) 723–757. [CrossRef] [MathSciNet] [Google Scholar]
  12. E. Le Donne, R. Montgomery, A. Ottazzi, P. Pansu and D. Vittone, Sard property for the endpoint map on some Carnot groups. Ann. Inst. H. Poincaré Anal. Non Linéaire 33 (2016) 1639–1666. [CrossRef] [MathSciNet] [Google Scholar]
  13. J. Martinet, Sur les singularités des formes différentielles. Ann. Inst. Fourier (Grenoble) 20 (1970) 95–178. [CrossRef] [MathSciNet] [Google Scholar]
  14. R. Montgomery, A tour of subriemannian geometries, their geodesics and applications. Vol. 91 of Mathematical Surveys and Monographs. American Mathematical Society, Providence, RI (2002). [Google Scholar]
  15. A. Ottazzi and D. Vittone, On the codimension of the abnormal set in step two Carnot groups. ESAIM: COCV 25 (2019) 18. [CrossRef] [EDP Sciences] [Google Scholar]
  16. L. Rifford and E. Trélat, Morse-Sard type results in sub-Riemannian geometry. Math. Ann. 332 (2005) 145–159. [CrossRef] [MathSciNet] [Google Scholar]
  17. M. Vergne, Cohomologie des algèbres de Lie nilpotentes. Application a l’étude de la variété des algèbres de Lie nilpotentes. Bull. Soc. Math. France 98 (1970) 81–116. [CrossRef] [Google Scholar]
  18. I. Zelenko and M. Zhitomirskiĭ, Rigid paths of generic 2-distributions on 3-manifolds. Duke Math. J. 79 (1995) 281–307. [CrossRef] [MathSciNet] [Google Scholar]

Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.

Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.

Initial download of the metrics may take a while.