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Journal of Geometric Analysis, 2017, Volume 27, Issue 1, Pages 366–408
DOI: https://doi.org/10.1007/s12220-016-9684-0
(Mi jga2)
 

This article is cited in 18 scientific papers (total in 18 papers)

Sub-Riemannian curvature in contact geometry

Andrei Agrachevabc, Davide Barilarid, Luca Rizzie

a SISSA, Trieste, Italy
b MI RAS, Moscow, Russia
c IM SB RAS, Novosibirsk, Russia
d Institut de Mathématiques de Jussieu-Paris Rive Gauche, UMR CNRS 7586 - Université Paris Diderot - Paris 7, Paris, France
e CMAP Ècole Polytechnique and Èquipe INRIA GECO Saclay Оle-de-France, Paris, France
Citations (18)
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 14 B25 31 0029
European Research Council 239748
Agence Nationale de la Recherche ANR-15-CE40-0018
The first author has been supported by the grant of the Russian Federation for the state support of research, Agreement No 14 B25 31 0029. This research has also been supported by the European Research Council, ERC StG 2009 "GeCoMethods," contract number 239748 and by the iCODE institute, research project of the Idex Paris-Saclay. The second and third authorswere supported by theGrant ANR-15-CE40-0018 of the ANR. The third author was supported by the SMAI project "BOUM". This research, benefited from the support of the "FMJH Program Gaspard Monge in optimization and operation research", and from the support to this program from EDF. We thank the Chinese University of Hong Kong, where part of this project has been carried out.
Received: 13.09.2015
Bibliographic databases:
Document Type: Article
Language: English
Linking options:
  • https://www.mathnet.ru/eng/jga2
  • This publication is cited in the following 18 articles:
    1. Davide Barilari, Tania Bossio, “Steiner and tube formulae in 3D contact sub-Riemannian geometry”, Commun. Contemp. Math., 26:07 (2024)  crossref
    2. Giorgio Stefani, “Generalized Bakry–Émery Curvature Condition and Equivalent Entropic Inequalities in Groups”, J Geom Anal, 32:4 (2022)  crossref
    3. Davide Barilari, Mathieu Kohli, “On sub-Riemannian geodesic curvature in dimension three”, Advances in Calculus of Variations, 15:3 (2022), 577  crossref
    4. Fabrice Baudoin, Erlend Grong, Luca Rizzi, Gianmarco Vega-Molino, “H-type foliations”, Differential Geometry and its Applications, 85 (2022), 101952  crossref
    5. Davide Barilari, Luca Rizzi, “Bakry–Émery curvature and model spaces in sub-Riemannian geometry”, Math. Ann., 377:1-2 (2020), 435  crossref
    6. Luca Rizzi, Pavel Silveira, “SUB-RIEMANNIAN RICCI CURVATURES AND UNIVERSAL DIAMETER BOUNDS FOR 3-SASAKIAN MANIFOLDS”, J. Inst. Math. Jussieu, 18:4 (2019), 783  crossref
    7. Davide Barilari, Stefan Ivanov, “A Bonnet–Myers type theorem for quaternionic contact structures”, Calc. Var., 58:1 (2019)  crossref
    8. Andrei Agrachev, Davide Barilari, Ugo Boscain, A Comprehensive Introduction to Sub-Riemannian Geometry, 2019  crossref
    9. A. A. Agrachev, D. Barilari, E. Paoli, “Volume geodesic distortion and ricci curvature for Hamiltonian dynamics”, Ann. Inst. Fourier (Grenoble), 69:3 (2019), 1187–1228  mathnet  crossref  isi  scopus
    10. Fabrice Baudoin, Erlend Grong, “Transverse Weitzenböck formulas and de Rham cohomology of totally geodesic foliations”, Ann Glob Anal Geom, 56:2 (2019), 403  crossref
    11. Fabrice Baudoin, Erlend Grong, Kazumasa Kuwada, Anton Thalmaier, “Sub-Laplacian comparison theorems on totally geodesic Riemannian foliations”, Calc. Var., 58:4 (2019)  crossref
    12. Ludovic Sacchelli, “Short Geodesics Losing Optimality in Contact Sub-Riemannian Manifolds and Stability of the 5-Dimensional Caustic”, SIAM J. Control Optim., 57:4 (2019), 2362  crossref
    13. Nathaniel Eldredge, Maria Gordina, Laurent Saloff-Coste, “Left-invariant geometries on SU(2) are uniformly doubling”, Geom. Funct. Anal., 28:5 (2018), 1321  crossref
    14. Davide Barilari, Francesco Boarotto, “Kolmogorov–Fokker–Planck operators in dimension two: heat kernel and curvature”, J. Evol. Equ., 18:3 (2018), 1115  crossref
    15. Isidro H. Munive, “Sub-Riemannian Curvature of Carnot Groups with Rank-Two Distributions”, J Dyn Control Syst, 23:4 (2017), 779  crossref
    16. Valerii N. Berestovskii, “Curvatures of homogeneous sub-Riemannian manifolds”, European Journal of Mathematics, 3:4 (2017), 788  crossref
    17. Davide Barilari, Luca Rizzi, “On Jacobi fields and a canonical connection in sub-Riemannian geometry”, Arch. Math. (Brno), 2017, no. 2, 77  crossref
    18. A. A. Agrachev, “Topics in sub-Riemannian geometry”, Russian Math. Surveys, 71:6 (2016), 989–1019  mathnet  mathnet  crossref  crossref  isi  scopus
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