4 papers · 1 filter
Inclusions between parabolic geometries
Boris Doubrov, Jan Slovak
Some of the well known Fefferman like constructions of parabolic geometries end up with a new structure on the same manifold. In this paper, we classify all such cases with the hel…
On local geometry of rank 3 distributions with 6-dimensional square
Boris Doubrov, Igor Zelenko
We solve the equivalence problem for rank 3 completely nonholonomic vector distributions with 6-dimensional square on a smooth manifold of arbitrary dimension n under very mild gen…
Generalized Wilczynski invariants for non-linear ordinary differential equations
Boris Doubrov
We show that classical Wilczynski--Se-ashi invariants of linear systems of ordinary differential equations are generalized in a natural way to contact invariants of non-linear ODEs…
A Canonical Frame for Nonholonomic Rank Two Distributions of Maximal Class
Boris Doubrov, Igor Zelenko
In 1910 E. Cartan constructed the canonical frame and found the most symmetric case for maximally nonholonomic rank 2 distributions on a 5-dimensional manifold. We solve the analog…