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All issues Volume 31 (2025) ESAIM: COCV, 31 (2025) 13 References
Open Access
Issue
ESAIM: COCV
Volume 31, 2025
Article Number 13
Number of page(s) 15
DOI https://doi.org/10.1051/cocv/2024094
Published online 12 February 2025
  1. F. Boarotto and A. Lerario, Homotopy properties of horizontal path spaces and a theorem of Serre in Subriemannian geometry. Commun. Anal. Geom. 25 (2017) 269–301. [CrossRef] [Google Scholar]
  2. A. Lerario and A. Mondino, Homotopy properties of horizontal loop spaces and applications to closed sub- Riemannian geodesics. Trans. Amer. Math. Soc. Ser. B 6 (2019) 187–214. [CrossRef] [MathSciNet] [Google Scholar]
  3. E. Caponio, M.A. Javaloyes and A. Masiello, Multiple connecting geodesics of a Randers–Kropina metric via homotopy theory for solutions of an affine control system. Topol. Methods Nonlinear Anal. 61 (2023) 527–547. [MathSciNet] [Google Scholar]
  4. E. Caponio, F. Giannoni, A. Masiello and S. Suhr, Connecting and closed geodesics of a Kropina metric. Adv. Nonlinear Stud. 21 (2021) 683–695. [CrossRef] [MathSciNet] [Google Scholar]
  5. A. Agrachev, D. Barilari and U. Boscain, A Comprehensive Introduction to Sub-Riemannian Geometry, Cambridge University Press, Cambridge, 2020. [Google Scholar]
  6. O. Müller, A note on closed isometric embeddings. J. Math. Anal. Appl. 349 (2009) 297–298. [CrossRef] [MathSciNet] [Google Scholar]
  7. J. Dominy and H. Rabitz, Dynamic homotopy and landscape dynamical set topology in quantum control. J. Math. Phys. 53 (2012) 082201. [CrossRef] [MathSciNet] [Google Scholar]
  8. A.V. Sarichev, On homotopy properties of the space of tra jectories of a completely nonholonomic differential system. Sov. Math. Dokl. 42 (1991) 674–678. [Google Scholar]
  9. S. Smale, Regular curves on Riemannian manifolds. Trans. Amer. Math. Soc. 87 (1958) 492–512. [CrossRef] [MathSciNet] [Google Scholar]
  10. F.H. Clarke, Optimization and Nonsmooth Analysis. Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA (1990). [CrossRef] [Google Scholar]
  11. J.-P. Serre, Lie Algebras and Lie Groups. Springer-Verlag, Berlin, Heidelberg, New York (2006). [Google Scholar]
  12. P. Hartman, Ordinary Differential Equations. John Wiley & Sons Inc., New York (1964). [Google Scholar]
  13. W. Hurewicz, On the concept of fiber space. Proc. Nat. Acad. Sci. U.S.A. 41 (1955) 956–961. [CrossRef] [MathSciNet] [PubMed] [Google Scholar]
  14. W. Rudin, Real and Complex Analysis. McGraw-Hill, Singapore (1987). [Google Scholar]
  15. A. Hatcher, Algebraic Topology. Cambridge University Press, Cambridge (2001). [Google Scholar]
  16. S.A. Mitchell, Notes on Serre Fibrations. Available at https://sites.math.washington.edu/mitchell/Atopc/serre.pdf (2001). [Google Scholar]

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