Igor Zelenko

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All published works

Action	Title	Year	Authors
+	Morse inequalities for ordered eigenvalues of generic self-adjoint families	2024	Gregory Berkolaiko Igor Zelenko
+ PDF Chat	On Eisenhart’s Type Theorem for Sub-Riemannian Metrics on Step $$2$$ Distributions with $$\mathrm{ad}$$-Surjective Tanaka Symbols	2024	Zaifeng Lin Igor Zelenko
+ PDF Chat	On geometry of 2-nondegenerate CR structures of hypersurface type and flag structures on leaf spaces of Levi foliations	2023	David Sykes Igor Zelenko
+	Morse inequalities for ordered eigenvalues of generic self-adjoint families	2023	Gregory Berkolaiko Igor Zelenko
+	On Eisenhart's type theorem for sub-Riemannian metrics on step $2$ distributions with $\mathrm{ad}$-surjective Tanaka symbols	2023	Zaifeng Lin Igor Zelenko
+ PDF Chat	Maximal Dimension of Groups of Symmetries of Homogeneous 2-nondegenerate CR Structures of Hypersurface Type with a 1-dimensional Levi Kernel	2022	David Sykes Igor Zelenko
+ PDF Chat	Absolute parallelism for 2-nondegenerate CR structures via bigraded Tanaka prolongation	2021	Curtis Porter Igor Zelenko
+	Maximal dimension of groups of symmetries of homogeneous 2-nondegenerate CR structures of hypersurface type with a 1-dimensional Levi kernel	2021	David Sykes Igor Zelenko
+ PDF Chat	On Weyl’s type theorems and genericity of projective rigidity in sub-Riemannian geometry	2020	Frédéric Jean Sofya Maslovskaya Igor Zelenko
+	Nontrivial linear projections on the Grassmannian <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:msub><mml:mrow><mml:mtext mathvariant="normal">Gr</mml:mtext></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">C</mml:mi></mml:mrow><mml:mrow><mml:mn>6</mml:mn></mml:mrow></mml:msup><mml:mo stretchy="false">)</mml:mo></mml:math>	2020	Yanhe Huang George Petroulakis Frank Sottile Igor Zelenko
+ PDF Chat	On Weyl's type theorems and genericity of projective rigidity in sub-Riemannian Geometry	2020	Frédéric Jean Sofya Maslovskaya Igor Zelenko
+	Vector distributions with very large symmetries via rational normal curves	2020	Boris Doubrov Igor Zelenko
+	Nontrivial linear projections of the Grassmannian Gr_3(C^6)	2020	Yanhe Huang George Petroulakis Frank Sottile Igor Zelenko
+	On geometry of $2$-nondegenerate CR structures of hypersurface type and flag structures on leaf spaces of Levi foliations	2020	David Sykes Igor Zelenko
+	A canonical form for pairs consisting of a Hermitian form and a self-adjoint antilinear operator	2019	David Sykes Igor Zelenko
+ PDF Chat	On projective and affine equivalence of sub-Riemannian metrics	2019	Frédéric Jean Sofya Maslovskaya Igor Zelenko
+	On projective and affine equivalence of sub-Riemannian metrics	2018	Frédéric Jean Sofya Maslovskaya Igor Zelenko
+	Canonical bundles of moving frames for parametrized curves in Lagrangian Grassmannians: algebraic approach	2018	Igor Zelenko
+	Platooning in the Presence of a Speed Drop: A Generalized Control Model	2017	Sina Arefizadeh Alireza Talebpour Igor Zelenko
+	Inverse Optimal Control Problem: the Sub-Riemannian Case * *This work was supported by the iCODE Institute project funded by the IDEX Paris-Saclay, ANR-11-IDEX-0003-02, by the Grant ANR-15-CE40-0018 of the ANR and by grant ANR-11-LABX-0056-LMH, LabEx LMH, in a joint call with PGMO.I. Zelenko is supported by NSF grant DMS-1406193	2017	Frédéric Jean Sofya Maslovskaya Igor Zelenko
+ PDF Chat	Injectivity of Generalized Wronski Maps	2017	Yanhe Huang Frank Sottile Igor Zelenko
+	Platooning in the Presence of a Speed Drop: A Generalized Control Model	2017	Sina Arefizadeh Alireza Talebpour Igor Zelenko
+ PDF Chat	A Congruence Modulo Four for Real Schubert Calculus with Isotropic Flags	2016	Nickolas Hein Frank Sottile Igor Zelenko
+	On local geometry of vector distributions with given Jacobi symbols	2016	Boris Doubrov Igor Zelenko
+ PDF Chat	Ricci curvature type lower bounds for sub-Riemannian structures on Sasakian manifolds	2015	Paul W. Y. Lee Chengbo Li Igor Zelenko
+	A congruence modulo four in real Schubert calculus with isotropic flags	2014	Nickolas Hein Frank Sottile Igor Zelenko
+ PDF Chat	Geometry of rank 2 distributions with nonzero Wilczynski invariants*	2014	Boris Doubrov Igor Zelenko
+ PDF Chat	A congruence modulo four in real Schubert calculus	2014	Nickolas Hein Frank Sottile Igor Zelenko
+	MEASURE CONTRACTION PROPERTIES OF SASAKIAN MANIFOLDS	2014	Paul W. Y. Lee Chengbo Li Igor Zelenko
+	A congruence modulo four in real Schubert calculus with isotropic flags	2014	Nickolas Hein Frank Sottile Igor Zelenko
+	On geometry of affine control systems with one input	2014	Boris Doubrov Igor Zelenko
+	Symmetries of trivial systems of ODEs of mixed order	2013	Boris Doubrov Igor Zelenko
+	MEASURE CONTRACTION PROPERTIES OF CONTACT SUB-RIEMANNIAN MANIFOLDS WITH SYMMETRY	2013	Paul W. Y. Lee Chengbo Li Igor Zelenko
+	Ricci curvature type lower bounds for sub-Riemannian structures on Sasakian manifolds	2013	Paul W. Y. Lee Chengbo Li Igor Zelenko
+ PDF Chat	Geometry of curves in generalized flag varieties	2013	Boris Doubrov Igor Zelenko
+	Symmetries of trivial systems of ODEs of mixed order	2013	Boris Doubrov Igor Zelenko
+	Geometry of rank 2 distributions with nonzero Wilczynski invariants and affine control systems with one input	2013	Boris Doubrov Igor Zelenko
+	Symmetries of trivial systems of ODEs of mixed order	2013	Boris Doubrov Igor Zelenko
+	Ricci curvature type lower bounds for sub-Riemannian structures on Sasakian manifolds	2013	Paul W. Y. Lee Chengbo Li Igor Zelenko
+	A congruence modulo four in real Schubert calculus	2012	Nickolas Hein Frank Sottile Igor Zelenko
+	PROLONGATION OF QUASI-PRINCIPAL FRAME BUNDLES AND GEOMETRY OF FLAG STRUCTURES ON MANIFOLDS	2012	Boris Doubrov Igor Zelenko
+	A mod four congruence in the real Schubert calculus and the Hermitian Grassmannian	2012	Nickolas Hein Frank Sottile Igor Zelenko
+ PDF Chat	On geometry of curves of flags of constant type	2012	Boris Doubrov Igor Zelenko
+	A congruence modulo four in real Schubert calculus	2012	Nickolas Hein Frank Sottile Igor Zelenko
+	Prolongation of quasi-principal frame bundles and geometry of flag structures on manifolds	2012	Boris Doubrov Igor Zelenko
+ PDF Chat	GEOMETRY OF CURVES IN PARABOLIC HOMOGENEOUS SPACES	2011	Boris Doubrov Igor Zelenko
+	On geometry of curves of flags of constant type	2011	Boris Doubrov Igor Zelenko
+	On geometry of curves of flags of constant type	2011	Boris Doubrov Igor Zelenko
+	Equivalence of variational problems of higher order	2010	Boris Doubrov Igor Zelenko
+ PDF Chat	Jacobi equations and Comparison Theorems for corank 1 sub-Riemannian structures with symmetries	2010	Chengbo Li Igor Zelenko
+	Equivalence of variational problems of higher order	2010	Boris Doubrov Igor Zelenko
+	Canonical frames for distributions of odd rank and corank 2 with maximal first Kronecker index	2010	Wojciech Kryński Igor Zelenko
+	Equivalence of variational problems of higher order	2010	Boris Doubrov Igor Zelenko
+ PDF Chat	On Tanaka's Prolongation Procedure for Filtered Structures of Constant Type	2009	Igor Zelenko
+ PDF Chat	On local geometry of non-holonomic rank 2 distributions	2009	Boris Doubrov Igor Zelenko
+	Differential geometry of curves in Lagrange Grassmannians with given Young diagram	2009	Igor Zelenko Chengbo Li
+	Jacobi Equations and Comparison Theorems for Corank 1 sub-Riemannian Structures with Symmetries	2009	Chengbo Li Igor Zelenko
+	On local geometry of rank 3 distributions with 6-dimensional square	2008	Boris Doubrov Igor Zelenko
+ PDF Chat	Parametrized curves in Lagrange Grassmannians	2007	Igor Zelenko Chengbo Li
+ PDF Chat	On Feedback Classification of Control-Affine Systems with One- and Two-Dimensional Inputs	2007	Andrei Agrachev Igor Zelenko
+	Differential geometry of curves in Lagrange Grassmannians with given Young diagram	2007	Igor Zelenko Chengbo Li
+	NUROWSKI'S CONFORMAL STRUCTURES FOR (2,5)-DISTRIBUTIONS VIA DYNAMICS OF ABNORMAL EXTREMALS(Developments of Cartan Geometry and Related Mathematical Problems)	2006	Andrei Agrachev Igor Zelenko
+ PDF Chat	On geodesic equivalence of Riemannian metrics and sub-Riemannian metrics on distributions of corank 1	2006	Igor Zelenko
+ PDF Chat	Fundamental Form and the Cartan Tensor of (2,5)-Distributions Coincide	2006	Igor Zelenko
+ PDF Chat	A canonical frame for nonholonomic rank two distributions of maximal class	2006	Boris Doubrov Igor Zelenko
+	Nurowski's conformal structures for (2,5)-distributions via dynamics of abnormal extremals	2006	Andrei Agrachev Igor Zelenko
+ PDF Chat	On variational approach to differential invariants of rank two distributions	2005	Igor Zelenko
+	On Curvatures and Focal Points of Distributions of Dynamical Lagrangian Distributions and their Reductions by First Integrals	2005	Andrei Agrachev N. N. Chtcherbakova Igor Zelenko
+	Complete systems of invariants for rank 1 curves in Lagrange Grassmannians	2005	Igor Zelenko
+	On feedback classification of control-affine systems with one and two-dimensional inputs	2005	Andrei Agrachev Igor Zelenko
+	A Canonical Frame for Nonholonomic Rank Two Distributions of Maximal Class	2005	Boris Doubrov Igor Zelenko
+	Fundamental form and Cartan's tensor of (2,5)-distibutions coincide	2004	Igor Zelenko
+	Complete systems of invariants for rank 1 curves in Lagrange Grassmannians	2004	Igor Zelenko
+	On geodesic equivalence of Riemannian metrics and sub-Riemannian metrics on distributions of corank 1	2004	Igor Zelenko
+	On curvatures and focal points of dynamical Lagrangian distributions and their reductions by first integrals	2004	Andrej A. Agrachev N. N. Chtcherbakova Igor Zelenko
+	Principal invariants of Jacobi curves	2001	Andrei Agrachev Igor Zelenko
+	Rigid paths of generic 2-distributions on 3-manifolds	1995	Igor Zelenko Michail Zhitomirskii

Common Coauthors

Coauthor	Papers Together
Boris Doubrov	22
Frank Sottile	10
Chengbo Li	10
Nickolas Hein	7
Andrei Agrachev	6
Paul W. Y. Lee	5
Frédéric Jean	5
Sofya Maslovskaya	5
David Sykes	5
Yanhe Huang	3
Gregory Berkolaiko	2
Sina Arefizadeh	2
Natalia N. Chtcherbakova	2
George Petroulakis	2
Zaifeng Lin	2
Alireza Talebpour	1
Michail Zhitomirskii	1
Wojciech Kryński	1
Andrej A. Agrachev	1
Alireza Talebpour	1
Curtis Porter	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Feedback-invariant optimal control theory and differential geometry—I. Regular extremals	1997	Andrei Agrachev Р. В. Гамкрелидзе	17
+ PDF Chat	On the equivalence problems associated with simple graded Lie algebras	1979	Noboru Tanaka	17
+ PDF Chat	A canonical frame for nonholonomic rank two distributions of maximal class	2006	Boris Doubrov Igor Zelenko	15
+ PDF Chat	On local geometry of non-holonomic rank 2 distributions	2009	Boris Doubrov Igor Zelenko	14
+	Differential geometry of curves in Lagrange Grassmannians with given Young diagram	2009	Igor Zelenko Chengbo Li	14
+ PDF Chat	Parametrized curves in Lagrange Grassmannians	2007	Igor Zelenko Chengbo Li	13
+ PDF Chat	On variational approach to differential invariants of rank two distributions	2005	Igor Zelenko	13
+ PDF Chat	Les systèmes de Pfaff, à cinq variables et les équations aux dérivées partielles du second ordre	1910	Élie Cartan	11
+ PDF Chat	Generalized Wilczynski Invariants for Non-Linear Ordinary Differential Equations	2008	Boris Doubrov	11
+	On local geometry of rank 3 distributions with 6-dimensional square	2008	Boris Doubrov Igor Zelenko	10
+ PDF Chat	Differential Systems Associated with Simple Graded Lie Algebras	2018	Keizo Yamaguchi	10
+ PDF Chat	Geometric structures on filtered manifolds	1993	Tôhru Morimoto	9
+	Projective differential geometry of curves and ruled surfaces	2008	E. J. Wilczynski	9
+	PROLONGATION OF QUASI-PRINCIPAL FRAME BUNDLES AND GEOMETRY OF FLAG STRUCTURES ON MANIFOLDS	2012	Boris Doubrov Igor Zelenko	9
+ PDF Chat	Fundamental Form and the Cartan Tensor of (2,5)-Distributions Coincide	2006	Igor Zelenko	9
+	Control Theory from the Geometric Viewpoint	2004	Andrei Agrachev Yuri L. Sachkov	8
+ PDF Chat	On geometry of curves of flags of constant type	2012	Boris Doubrov Igor Zelenko	8
+	A Tour of Subriemannian Geometries, Their Geodesics and Applications	2006	Richard Montgomery	8
+	Complete systems of invariants for rank 1 curves in Lagrange Grassmannians	2005	Igor Zelenko	7
+	Divisors on general curves and cuspidal rational curves	1983	David Eisenbud Joseph Harris	7
+ PDF Chat	On Tanaka's Prolongation Procedure for Filtered Structures of Constant Type	2009	Igor Zelenko	7
+	Lectures on Differential Geometry.	1966	J. R. Vanstone S. Sternberg	6
+	Representation Theory: A First Course	1991	William Fulton	6
+	Principal invariants of Jacobi curves	2001	Andrei Agrachev Igor Zelenko	6
+ PDF Chat	GEOMETRY OF CURVES IN PARABOLIC HOMOGENEOUS SPACES	2011	Boris Doubrov Igor Zelenko	6
+	Parabolic Geometries I	2009	Andreas Čap Jan Slovák	6
+ PDF Chat	Sulle trasformazioni delle equazioni dinamiche	1896	Tullio Levi-Cività	6
+ PDF Chat	Differential equations and conformal structures	2004	Paweł Nurowski	5
+ PDF Chat	On affine symmetric spaces and the automorphism groups of product manifolds	1985	Noboru Tanaka	5
+	The B. and M. Shapiro conjecture in real algebraic geometry and the Bethe ansatz	2009	E. Mukhin Vitaly Tarasov A. Varchenko	5
+	Typical Singularities of Differential 1-Forms and Pfaffian Equations	1992	Michail Zhitomirskii	5
+	Equivalence of variational problems of higher order	2010	Boris Doubrov Igor Zelenko	5
+ PDF Chat	Jacobi equations and Comparison Theorems for corank 1 sub-Riemannian structures with symmetries	2010	Chengbo Li Igor Zelenko	5
+	Classification of homogeneous submanifolds in homogeneous spaces.	1999	Boris Doubrov Boris Komrakov	5
+	Projective reparametrization of homogeneous curves	2005	Boris Doubrov	5
+	Projective differential geometry of curves and ruled surfaces	1908	Josef Grünvald	5
+ PDF Chat	On the geometry of metric measure spaces. II	2006	Karl‐Theodor Sturm	4
+	None	2003	Peter Topalov Vladimir S. Matveev	4
+ PDF Chat	On the pseudo-conformal geometry of hypersurfaces of the space of $n$ complex variables	1962	Noboru Tanaka	4
+	None	1998	Mark E. Fels Peter J. Olver	4
+	Welschinger invariant and enumeration of real plane rational curves	2003	Ilia Itenberg Viatcheslav Kharlamov Eugeniĭ Shustin	4
+	None	1999	Mark E. Fels Peter J. Olver	4
+ PDF Chat	Bishop and Laplacian Comparison Theorems on Three-Dimensional Contact Sub-Riemannian Manifolds with Symmetry	2013	Andrei Agrachev Paul W. Y. Lee	4
+ PDF Chat	Teoria fondamentale degli spazii di curvatura costante	1868	Eugenio Beltrami	4
+ PDF Chat	Real hypersurfaces in complex manifolds	1974	Shiing-Shen Chern Jürgen Moser	4
+ PDF Chat	Finsler interpolation inequalities	2009	Shin‐ichi Ohta	4
+ PDF Chat	Ricci curvature for metric-measure spaces via optimal transport	2009	John Lott Cédric Villani	4
+ PDF Chat	Paraconformal geometry of n th-order ODEs, and exotic holonomy in dimension four	2005	Maciej Dunajski Paul Tod	4
+ PDF Chat	Variational problems on contact Riemannian manifolds	1989	Shûkichi Tanno	4
+	Normal forms of germs of smooth distributions	1991	M. Ya. Zhitomirskiĭ	4