55 citations · 444 across the 60 of their papers we have counts for
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On 3-nondegenerate CR manifolds in dimension 7 (II): the intransitive case
Boris Kruglikov, Andrea Santi
We investigate 3-nondegenerate CR structures in the lowest possible dimension 7 and show that 8 is the maximal dimension for the Lie algebra of symmetries of such structures. The n…
On 3-nondegenerate CR manifolds in dimension 7 (I): the transitive case
Boris Kruglikov, Andrea Santi
We investigate 3-nondegenerate CR structures in the lowest possible dimension 7, and one of our goals is to prove Beloshapka's conjecture on the symmetry dimension bound for hypers…
Blow-ups and infinitesimal automorphisms of CR-manifolds
Boris Kruglikov
Let be a real-analytic connected CR-hypersurface of CR-dimension having a point of Levi-nondegeneracy. The following alternative is demonstrated for both the symmetry alg…
On the symmetry algebras of 5-dimensional CR-manifolds
Alexander Isaev, Boris Kruglikov
We show that for a real-analytic connected holomorphically nondegenerate 5-dimensional CR-hypersurface and its symmetry algebra one has either: (i) $\dim\mathfra…
A short proof of the Dimension Conjecture for real hypersurfaces in
Alexander Isaev, Boris Kruglikov
Recently, I. Kossovskiy and R. Shafikov have settled the so-called Dimension Conjecture, which characterizes spherical hypersurfaces in via the dimension of the alg…
Submaximally symmetric CR-structures
Boris Kruglikov
Hypersurface type CR-structures with non-degenerate Levi form on a manifold of dimension have maximal symmetry dimension . We prove that the next (submaximal) po…