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math.DG2013
On the models of submaximal symmetric rank 2 distributions in 5D
Boris Doubrov, Boris Kruglikov
There are two different approaches to exhibit submaximal symmetric rank 2 distributions in 5D via Monge equations. In this note we establish precise relations between these models,…
math.DG2013
Submaximal metric projective and metric affine structures
Boris Kruglikov, Vladimir Matveev
We prove that the next possible dimension after the maximal for the Lie algebra of local projective symmetries of a metric on a manifold of dimension is i…
math.DG2013★ 37 cited
The gap phenomenon in parabolic geometries
Boris Kruglikov, Dennis The
The infinitesimal symmetry algebra of any Cartan geometry has maximum dimension realized by the flat model, but often this dimension drops significantly when considering non-flat g…