72 citations · 275 across the 33 of their papers we have counts for
35 papers
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 as the symmetry group of the maximally symmetric rank 2 distribution on a 5-dimensiona…
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…
Symplectification of Rank 2 Distributions, Normal Cartan Connections, and Cartan Prolongations
Nicklas Day, Boris Doubrov, Igor Zelenko
We study the Doubrov--Zelenko symplectification procedure for rank distributions with -dimensional cube -- originally motivated by optimal control theory -- through the lens…
Extrinsic geometry and linear differential equations of -type
Boris Doubrov, Tohru Morimoto
As an application of the general theory on extrinsic geometry, we investigate extrinsic geometry in frag varieties and systems of linear PDE's for a class of special interest assoc…
Classification of simply-transitive Levi non-degenerate hypersurfaces in
Boris Doubrov, Joël Merker, Dennis The
Holomorphically homogeneous CR real hypersurfaces were classified by Élie Cartan in 1932. In the next dimension, we complete the classification of simply…
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…