David Sykes

activity

20242026

collaborators

3 papers

math.DG2026

Pre-KÃ¤hler structures and finite-nondegeneracy

Omid Makhmali, David Sykes

Motivated by the geometry of Levi degenerate CR hypersurfaces, we define a \emph{pre-KÃ¤hler structure} on a complex manifold as a pre-symplectic structure compatible with the almo…

math.CV2025

Defining equations of $7$ -dimensional model CR hypersurfaces

Jan GregoroviÄ, David Sykes

We study CR hypersurfaces in $C^{4}$ that are Levi degenerate with constant rank Levi form, and moreover finitely nondegenerate. Each of these can be described as a deformat…

math.CV2024

Models of $2$ -nondegenerate CR hypersurface in $C^{N}$

Jan GregoroviÄ, Martin KolÃ¡Å, David Sykes

We show that every point in a uniformly $2$ -nondegenerate CR hypersurface is canonically associated with a model $2$ -nondegenerate structure. The $2$ -nondegenerate models are basic…

Pre-KÃ¤hler structures and finite-nondegeneracy

Defining equations of 7-dimensional model CR hypersurfaces

Models of 2-nondegenerate CR hypersurface in CN

Defining equations of $7$ -dimensional model CR hypersurfaces

Models of $2$ -nondegenerate CR hypersurface in $C^{N}$