4 citations · 5 across the 4 of their papers we have counts for
4 papers
New examples of -nondegenerate real hypersurfaces in with arbitrary nilpotent symbols
Martin Kolář, Ilya Kossovskiy, David Sykes
We introduce a class of uniformly -nondegenerate CR hypersurfaces in , for , having a rank Levi kernel. The class is first of all remarkable by the fact t…
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…
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…