Rifford, Ludovic Subdifferentials and minimizing Sard conjecture in sub-Riemannian geometry. (Sous-différentiels et conjecture de Sard minimisante en géométrie sous-riemannienne.) (English. French summary) Zbl 1529.53027 J. Éc. Polytech., Math. 10, 1195-1244 (2023). MSC: 53C17 49J52 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lokutsievskiy, Lev; Zelikin, Mikhail Derivatives of sub-Riemannian geodesics are \(L_p\)-Hölder continuous. (English) Zbl 1525.53037 ESAIM, Control Optim. Calc. Var. 29, Paper No. 70, 30 p. (2023). MSC: 53C17 53C22 49J15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hakavuori, Eero; Le Donne, Enrico Blowups and blowdowns of geodesics in Carnot groups. (English) Zbl 1521.53023 J. Differ. Geom. 123, No. 2, 267-310 (2023). Reviewer: Nathaniel Eldredge (Greeley) MSC: 53C17 28A75 49K21 22E25 53C22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Dahinden, Lucas; Pino, Álvaro Del Introducing sub-Riemannian and sub-Finsler billiards. (English) Zbl 1498.53048 Discrete Contin. Dyn. Syst. 42, No. 7, 3187-3232 (2022). Reviewer: Peibiao Zhao (Nanjing) MSC: 53C17 53D25 37C83 53C60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sachkov, Yu. L.; Popov, A. Yu. Sub-Riemannian Engel sphere. (English. Russian original) Zbl 1490.53049 Dokl. Math. 104, No. 2, 301-305 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 500, 97-101 (2021). MSC: 53C17 × Cite Format Result Cite Review PDF Full Text: DOI
Barilari, Davide; Boscain, Ugo; Neel, Robert W. Heat kernel asymptotics on sub-Riemannian manifolds with symmetries and applications to the bi-Heisenberg group. (English. French summary) Zbl 1437.58018 Ann. Fac. Sci. Toulouse, Math. (6) 28, No. 4, 707-732 (2019). Reviewer: Nathaniel Eldredge (Storrs) MSC: 58J37 58J35 53C17 53C22 35H10 35K08 35B40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Basco, Vincenzo; Cannarsa, Piermarco; Frankowska, Hélène Semiconcavity results and sensitivity relations for the sub-Riemannian distance. (English) Zbl 1419.49050 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 184, 298-320 (2019). MSC: 49Q12 49N60 53C17 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Albano, Paolo; Cannarsa, Piermarco; Scarinci, Teresa Partial regularity for solutions to subelliptic eikonal equations. (Sur la régularité partielle des solutions de l’équation eikonale sous-elliptique.) (English. Abridged French version) Zbl 1383.35040 C. R., Math., Acad. Sci. Paris 356, No. 2, 172-176 (2018). MSC: 35B65 35F30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Albano, Paolo; Cannarsa, Piermarco; Scarinci, Teresa Regularity results for the minimum time function with Hörmander vector fields. (English) Zbl 1380.35057 J. Differ. Equations 264, No. 5, 3312-3335 (2018). MSC: 35F30 35F21 35D40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Albano, Paolo On the subelliptic eikonal equation. (English) Zbl 1432.35055 “Bruno Pini” Mathematical Analysis Seminar 2017. Papers from the seminar, University of Bologna, Bologna, Italy, 2017. Bologna: Università di Bologna, Alma Mater Studiorum. 73-89 (2017). MSC: 35H20 35F30 35F21 35D40 × Cite Format Result Cite Review PDF Full Text: DOI Link
Mason, Paolo; Gaye, Moussa; Charlot, Gregoire; Boscain, Ugo Local properties of almost-Riemannian structures in dimension 3. (English) Zbl 1335.53039 Discrete Contin. Dyn. Syst. 35, No. 9, 4115-4147 (2015). MSC: 53C17 35H10 58J65 53B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Agrachev, Andrei; Lee, Paul W. Y. Generalized Ricci curvature bounds for three dimensional contact subriemannian manifolds. (English) Zbl 1327.53032 Math. Ann. 360, No. 1-2, 209-253 (2014). Reviewer: Mihail Banaru (Smolensk) MSC: 53C17 53D10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Figalli, Alessio; Rifford, Ludovic Mass transportation on sub-Riemannian manifolds. (English) Zbl 1201.49048 Geom. Funct. Anal. 20, No. 1, 124-159 (2010). MSC: 49Q20 53C17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Boscain, Ugo; Rossi, Francesco Projective Reeds-Shepp car on \(S^2\) with quadratic cost. (English) Zbl 1217.49034 ESAIM, Control Optim. Calc. Var. 16, No. 2, 275-297 (2010). MSC: 49Q20 49J15 53C17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv EuDML
Rifford, Ludovic; Trélat, Emmanuel On the stabilization problem for nonholonomic distributions. (English) Zbl 1194.49070 J. Eur. Math. Soc. (JEMS) 11, No. 2, 223-255 (2009). MSC: 49Q20 34H05 49K40 93D15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Cannarsa, P.; Rifford, L. Semiconcavity results for optimal control problems admitting no singular minimizing controls. (English) Zbl 1145.49022 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 25, No. 4, 773-802 (2008). MSC: 49N60 53C17 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Trélat, Emmanuel Global subanalytic solutions of Hamilton–Jacobi type equations. (English) Zbl 1094.35020 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 23, No. 3, 363-387 (2006). Reviewer: Vasile Iftode (Bucureşti) MSC: 35B05 35F20 49L25 32B20 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Rifford, L.; Trélat, E. Morse-Sard type results in sub-Riemannian geometry. (English) Zbl 1069.53033 Math. Ann. 332, No. 1, 145-159 (2005). MSC: 53C17 49J52 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Chitour, Yacine; Jean, Frédéric; Trélat, Emmanuel Generic properties of singular trajectories. (Propriétés génériques des trajectoires singulières.) (French) Zbl 1038.58019 C. R., Math., Acad. Sci. Paris 337, No. 1, 49-52 (2003). MSC: 58E25 53C17 93C10 × Cite Format Result Cite Review PDF Full Text: DOI Link
Bonnard, B.; Trélat, E. On the role of abnormal minimizers in sub-Riemannian geometry. (English) Zbl 1017.53034 Ann. Fac. Sci. Toulouse, VI. Sér., Math. 10, No. 3, 405-491 (2001). Reviewer: A.Morimoto (Nagoya) MSC: 53C17 49J15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Numdam EuDML
Trélat, Emmanuel Asymptotics of accessibility sets along an abnormal trajectory. (English) Zbl 0996.93009 ESAIM, Control Optim. Calc. Var. 6, 387-414 (2001). Reviewer: Manuel C.Guerra (Lisboa) MSC: 93B03 49K15 93B10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Numdam EuDML
Agrachev, Andrei; Gauthier, Jean-Paul On the subanalyticity of Carnot-Carathéodory distances. (English) Zbl 1001.93014 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 18, No. 3, 359-382 (2001). Reviewer: A.Morimoto (Nagoya) MSC: 93B27 53C17 93C10 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML