1. (Jointly with Boris Doubrov) Geometry of curves in parabolic homogeneous spaces, arXiv:1110.0226
v1 [math. DG], 20 pages
.pdf
2.
(Jointly with Boris Doubrov) On geometry of curves of flags of constant
type, arXiv:1110.0242
v1 [math. DG], 39 pages .pdf
3.
(Jointly with Boris Doubrov) Equivalence of Variational Problems of Higher
Order, Differential
Geometry and its Applications , Volume 29, Issue 2, March 2011, Pages 255-270
.pdf
4.
(Jointly with Wojciech Krynski) Canonical frames for distributions of
odd rank and corank 2 with maximal first Kronecker index, Journal of
Lie Theory, 21 (2011), No. 2, 307--346 , arXiv: 1003.1405 v1 [math.
DG] .pdf
5.
(Jointly with Chengbo Li) Jacobi Equations and Comparison Theorems for Corank 1
sub-Riemannian Structures with Symmetries, Journal of Geometry and
Physics 61 (2011) 781-807,
arXiv:
0908.4397 v1 [math.DG],
.pdf
6.
On Tanaka's prolongation procedure for filtered structures of constant
type , Symmetry, Integrability and Geometry: Methods and Applications
(SIGMA), Special Issue "Elie Cartan and Differential Geometry", v. 5,
2009, doi:10.3842/SIGMA.2009.094, 0906.0560 v3 [math.DG], 21 pages. .pdf
7.
(Jointly with Boris Doubrov) On local geometry of rank 3 distributions
with 6-dimensional square, 0807.3267 v1 [math.DG], 40 pages,
, .pdf
8.
(Jointly with Chengbo Li) Parametrized curves in Lagrange Grassmannians,
C.R. Acad. Sci. Paris, Ser. I, Vol. 345, Issue 11, 647-652, presented by
Pierre Deligne, .pdf 9.
(Jointly with Chengbo Li) Differential geometry of curves in Lagrange
Grassmannians with given Young diagram, Differential
Geometry and its Applications, 27 (2009), 723-742, DOI:
10.1016/j.difgeo.2009.07.002 ,arXiv:0708.1100v1
[math.DG],
.pdf 10.(Jointly with B. Doubrov)
On local geometry of nonholonomic rank 2 distributions, Journal of
London Mathematical Society, 80(3):545-566, 2009, doi:
10.1112/jlms/jdp044, arxiv
math.DG/0703662, 21 pages .pdf 11.
(Jointly with A. Agrachev) Nurowski's conformal structures for
(2,5)-distributions via dynamics of abnormal extremals,
Proceedings of RIMS Symposium on "Developments of Cartan Geometry and
Related Mathematical Problems", "RIMS Kokyuroku" series 1502, 204-218,
arxiv math.DG/0605059, 13 pages, .pdf 12.(Jointly with B. Doubrov) A canonical frame for
nonholonomic rank two distributions of maximal class, C.R. Acad. Sci.
Paris, Ser. I, Vol. 342, Issue 8 (15 April 2006), 589-594, presented by
Michael Gromov, 13. (Jointly with A. Agrachev) On
feedback classification of affine control systems with one input and
small-dimensional affine
arxiv math.DG/0504319, SISSA preprint 25/2005/M .pdf
control systems with two inputs, SIAM
Journal on Control and Optimization, Vol. 46, Issue 4 (2007),1431-1460;
SISSA
preprint 87/2004/M, 29 pages, .pdf
14. Complete systems of invariants for rank 1 curves
in
Lagrange Grassmannians, Differential Geom. Application, Proc. Conf.
Prague, 2005, pp 365-379, Charles University, Prague;
arxiv math. DG/0411190, SISSA preprint 82/2004/M
.ps , pdf
15. Variational Approach to Differential Invariants of Rank 2
Vector Distributions,
Differential Geometry and Its Applications, Vol. 24, Issue 3 (May
2006), 235-259;
arxiv math. DG/0402171, SISSA preprint 12/2004/M (the long version
37 pages)..ps,.pdf
16. Fundamental form and
Cartan's tensor of (2,5)-distributions coincide,
J. Dynamical and Control Systems, Vol.12, No. 2, April 2006, 247-276;
arxiv math. DG/0402195, SISSA preprint 13/2004/M..ps, .pdf
17. On geodesic equivalence of Riemannian metrics and
sub-Riemannian metrics on distributions of corank 1,
Journal of Mathematical Sciences, Vol. 135, Number 4 (June 2006),
3168 - 3194
arxiv math. DG/0406111, SISSA preprint 41/2004/M, 30 pages..ps, .pdf
18. (Jointly with A. Agrachev and N. Chtcherbakova) On
curvatures and focal points
of dynamical Lagrangian distributions and their reductions by first
integrals,
J. Dynamical and Control Systems, 11, 2005, No.3,
297-327.
arxiv math. DG/0409152, SISSA preprint 58/2004/M,
.ps, .pdf
19. (Jointly with A. Agrachev) Geometry of Jacobi curves.
I,
J. Dynamical and Control Systems, 8, 2002, No. 1, 93-140.
.pdf
20. (Jointly with A. Agrachev) Geometry of Jacobi
curves. II,
J. Dynamical and Control Systems, 8, 2002, No.2,
167-215. .pdf
21. Nonregular abnormal extremals of 2-distribution:
existence, second variation and rigidity,
J. Dynamical and Control systems , 5(1999), No. 3, 347-383. .pdf
22. (Jointly with M.Zhitomirskii) Rigid paths of
generic 2-distributions on 3-manifolds,
Duke Mathematical Journal, Vol. 79, No. 2, 1995, 281-307, .pdf
23. (Jointly with A. Agrachev ) Principle Invariants of
Jacobi curves, In the book:
Nonlinear Control in the Year 2000, v.1,A. Isidori, F.
Lamnabhi-Lagarrigue \&
W.Respondek, Eds, Lecture Notes in Control and Information Sciences
258, Springer, 2001, 9-22..ps