Igor Zelenko

collaborators

4 papers

math.DG2026

$G_{2}$ and the Maximally Symmetric (3, 8) Distribution with 6-Dimensional Square

Nicklas Day, Boris Doubrov, Igor Zelenko

In 1910, Élie Cartan famously realized the split real form of the exceptional Lie group $G_{2}$ as the symmetry group of the maximally symmetric rank 2 distribution on a 5-dimensiona…

math.DG2026

Generalized pseudo-product structures and finite type distributions via abnormal extremals

Boris Doubrov, Igor Zelenko

We generalize the classical Tanaka result on the finiteness of the Lie algebra of infinitesimal symmetries for non-degenerate pseudo-product structures to the case when the complet…

math.DG2025

Canonical Frames for Bracket Generating Rank 2 Distributions which are not Goursat

Nicklas Day, Igor Zelenko

We complete a uniform construction of canonical absolute parallelism for bracket generating rank $2$ distributions with $5$ -dimensional cube on $n$ -dimensional manifold with $n\geq…