76 citations · 265 across the 33 of their papers we have counts for
34 papers
On Eisenhart's type theorem for sub-Riemannian metrics on step distributions with -surjective Tanaka symbols
Zaifeng Lin, Igor Zelenko
The classical result of Eisenhart states that if a Riemannian metric admits a Riemannian metric that is not constantly proportional to and has the same (parameterized) geod…
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 the sharp upper bound for the dimension of the symmetry groups of homogeneous, 2-nondegenerate, -dimensional CR manifolds of hypersurface…
On geometry of -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 -nondegenerate, hypersurface-type CR structures of arbitrary odd dimension not less than…
Nontrivial linear projections of the Grassmannian Gr_3(C^6)
Yanhe Huang, George Petroulakis, Frank Sottile +1
A typical linear projection of the Grassmannian in its Plucker embedding is injective, unless its image is a projective space. A notable exception are self-adjoint linear projectio…
Vector distributions with very large symmetries via rational normal curves
Boris Doubrov, Igor Zelenko
We construct a sequence of rank 3 distributions on -dimensional manifolds for any such that the dimension of their symmetry group grows exponentially in (more prec…
On Weyl's type theorems and genericity of projective rigidity in sub-Riemannian Geometry
Frédéric Jean, Sofya Maslovskaya, Igor Zelenko
H. Weyl in 1921 demonstrated that for a connected manifold of dimension greater than , if two Riemannian metrics are conformal and have the same geodesics up to a reparametrizat…