I. Zelenko

activity

20042023

most citedVariational Approach to Differential Invariants of Rank 2 Vector Distributions

76 citations · 265 across the 33 of their papers we have counts for

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math.CV2021

Maximal dimension of groups of symmetries of homogeneous 2-nondegenerate CR structures of hypersurface type with a 1-dimensional Levi kernel

David Sykes, Igor Zelenko

We prove that for every $n \geq 3$ the sharp upper bound for the dimension of the symmetry groups of homogeneous, 2-nondegenerate, $(2 n + 1)$ -dimensional CR manifolds of hypersurface…

math.CV2020

On geometry of $2$ -nondegenerate CR structures of hypersurface type and flag structures on leaf spaces of Levi foliations

David Sykes, Igor Zelenko

We construct canonical absolute parallelisms over real-analytic manifolds equipped with $2$ -nondegenerate, hypersurface-type CR structures of arbitrary odd dimension not less than…

math.CV2019★ 4 cited

A canonical form for pairs consisting of a Hermitian form and a self-adjoint antilinear operator

David Sykes, Igor Zelenko

Motivated by a problem in local differential geometry of Cauchy--Riemann (CR) structures of hypersurface type, we find a canonical form for pairs consisting of a nondegenerate Herm…

Maximal dimension of groups of symmetries of homogeneous 2-nondegenerate CR structures of hypersurface type with a 1-dimensional Levi kernel

On geometry of 2-nondegenerate CR structures of hypersurface type and flag structures on leaf spaces of Levi foliations

A canonical form for pairs consisting of a Hermitian form and a self-adjoint antilinear operator

On geometry of $2$ -nondegenerate CR structures of hypersurface type and flag structures on leaf spaces of Levi foliations