IZ
Igor Zelenko
math.DGmath.OCmath.AGmath.CVcs.SYeess.SYmath.DSmath.SGmath.SP
On Valency
published · living versionsW_7tz8e93q·v1 · currentpublished
Levi-Civita's type theorem for projectively equivalent sub-Riemannian metrics on step 2 distributions
with Christopher Sinkule
1 version
Preprints & journals
35 papers in the corpus · 2004–2026An equiregular counterexample to the Sard conjecture for sub-Riemannian endpoint maps2610.24080v1 · Bangjie Wang, Igor Zelenko2026 · 0 citationsarXiv
H-principle for corank two distributions of odd rank and maximal first Kronecker index2609.38214v1 · Milan Jovanovic, Igor Zelenko2026 · 0 citationsarXiv
and the Maximally Symmetric (3, 8) Distribution with 6-Dimensional Square2605.25910v3 · Nicklas Day, Boris Doubrov, Igor Zelenko2026 · 0 citationsarXiv
Generalized pseudo-product structures and finite type distributions via abnormal extremals2605.12307v4 · Boris Doubrov, Igor Zelenko2026 · 0 citationsarXiv
Canonical Frames for Bracket Generating Rank 2 Distributions which are not Goursat2508.09307v5 · Nicklas Day, Igor Zelenko2025 · 0 citationsarXiv
Symplectification of Rank 2 Distributions, Normal Cartan Connections, and Cartan Prolongations2506.09232v2 · Nicklas Day, Boris Doubrov, Igor Zelenko2025 · 0 citationsarXiv
On Eisenhart's type theorem for sub-Riemannian metrics on step distributions with -surjective Tanaka symbols2308.14218v4 · Zaifeng Lin, Igor Zelenko2023 · 0 citationsarXiv
Morse inequalities for ordered eigenvalues of generic self-adjoint families2304.04331v3 · Gregory Berkolaiko, Igor Zelenko2023 · 0 citationsInvent. Math. (2024)
Maximal dimension of groups of symmetries of homogeneous 2-nondegenerate CR structures of hypersurface type with a 1-dimensional Levi kernel2102.08599v3 · David Sykes, Igor Zelenko2021 · 11 citationsarXiv
On geometry of -nondegenerate CR structures of hypersurface type and flag structures on leaf spaces of Levi foliations2010.02770v3 · David Sykes, Igor Zelenko2020 · 9 citationsarXiv
Nontrivial linear projections of the Grassmannian Gr_3(C^6)2004.10070v1 · Yanhe Huang, George Petroulakis, Frank Sottile et al.2020 · 0 citationsarXiv
Vector distributions with very large symmetries via rational normal curves2004.07201v1 · Boris Doubrov, Igor Zelenko2020 · 1 citationarXiv
On Weyl's type theorems and genericity of projective rigidity in sub-Riemannian Geometry2001.08584v1 · Fr'ed'eric Jean, Sofya Maslovskaya, Igor Zelenko2020 · 0 citationsarXiv
A canonical form for pairs consisting of a Hermitian form and a self-adjoint antilinear operator1909.09201v1 · David Sykes, Igor Zelenko2019 · 4 citationsLinear Algebra Appl. 590 (2020), 32--61
Canonical bundles of moving frames for parametrized curves in Lagrangian Grassmannians: algebraic approach1812.10501v1 · Igor Zelenko2018 · 0 citationsarXiv
On projective and affine equivalence of sub-Riemannian metrics1801.04257v3 · F. Jean, S. Maslovskaya, I. Zelenko2018 · 8 citationsarXiv
Platooning in the Presence of a Speed Drop: A Generalized Control Model1709.10083v1 · Sina Arefizadeh, Alireza Talebpour, Igor Zelenko2017 · 0 citationsarXiv
On local geometry of vector distributions with given Jacobi symbols1610.09577v1 · Boris Doubrov, Igor Zelenko2016 · 4 citationsarXiv
Injectivity of generalized Wronski maps1609.06793v2 · Yanhe Huang, Frank Sottile, Igor Zelenko2016 · 2 citationsCan. Math. Bull. 60 (2017) 747-761
A congruence modulo four in real Schubert calculus with isotropic flags1405.7761v2 · Nickolas Hein, Frank Sottile, Igor Zelenko2014 · 2 citationsarXiv
Ricci curvature type lower bounds for sub-Riemannian structures on Sasakian manifolds1304.2658v6 · Paul W. Y. Lee, Chengbo Li, Igor Zelenko2013 · 23 citationsarXiv
Symmetries of trivial systems of ODEs of mixed order1302.7119v2 · Boris Doubrov, Igor Zelenko2013 · 2 citationsarXiv
Geometry of rank 2 distributions with nonzero Wilczynski invariants and affine control systems with one input1301.2797v1 · Boris Doubrov, Igor Zelenko2013 · 3 citationsarXiv
A congruence modulo four in real Schubert calculus1211.7160v3 · Nickolas Hein, Frank Sottile, Igor Zelenko2012 · 15 citationsarXiv
Prolongation of quasi-principal frame bundles and geometry of flag structures on manifolds1210.7334v2 · Boris Doubrov, Igor Zelenko2012 · 11 citationsarXiv
Geometry of curves in parabolic homogeneous spaces1110.0226v2 · Boris Doubrov, Igor Zelenko2011 · 44 citationsTransformation Groups, 2013, Volume 18, Issue 2 , pp 361-383
On geometry of curves of flags of constant type1110.0242v1 · Boris Doubrov, Igor Zelenko2011 · 35 citationsarXiv
Equivalence of variational problems of higher order1004.1730v1 · Boris Doubrov, Igor Zelenko2010 · 11 citationsarXiv
Canonical frames for distributions of odd rank and corank 2 with maximal first Kronecker index1003.1405v1 · Wojciech Krynski, Igor Zelenko2010 · 3 citationsarXiv
Jacobi Equations and Comparison Theorems for Corank 1 sub-Riemannian Structures with Symmetries0908.4397v1 · Chengbo Li, Igor Zelenko2009 · 28 citationsarXiv
On Tanaka's Prolongation Procedure for Filtered Structures of Constant Type0906.0560v3 · Igor Zelenko2009 · 19 citationsSIGMA 5 (2009), 094, 21 pages
On local geometry of rank 3 distributions with 6-dimensional square0807.3267v1 · Boris Doubrov, Igor Zelenko2008 · 10 citationsarXiv
Differential geometry of curves in Lagrange Grassmannians with given Young diagram0708.1100v1 · Igor Zelenko, Chengbo Li2007 · 74 citationsarXiv
On local geometry of nonholonomic rank 2 distributionsmath/0703662v1 · Boris Doubrov, Igor Zelenko2007 · 36 citationsarXiv
Variational Approach to Differential Invariants of Rank 2 Vector Distributionsmath/0402171v2 · Igor Zelenko2004 · 70 citationsDifferential Geometry and Its Applications, Vol. 24, Issue 3 (May 2006), 235-259
Career total: 71 works. 35 are in this corpus.
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