55 citations · 444 across the 60 of their papers we have counts for
9 papers · 1 filter
Almost complex structures in 6D with nondegenerate Nijenhuis tensors and large symmetry groups
Boris Kruglikov, Henrik Winther
For an almost complex structure in dimension 6 with nondegenerate Nijenhuis tensor , the automorphism group of maximal dimension is the exceptional Lie group $G…
The geodesic flow of a generic metric does not admit nontrivial integrals polynomial in momenta
Boris Kruglikov, Vladimir S. Matveev
Any smooth geodesic flow is locally integrable with smooth integrals. We show that generically this fails if we require, in addition, that the integrals are polynomial (or, more ge…
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…
On integrability of certain rank 2 sub-Riemannian structures
Boris Kruglikov, Andreas Vollmer, Georgios Lukes-Gerakopoulos
We discuss the integrability of rank 2 sub-Riemannian structures on low-dimensional manifolds, and then prove that some structures of that type in dimension 6, 7 and 8 have a lot o…
Submaximally symmetric c-projective structures
Boris Kruglikov, Vladimir Matveev, Dennis The
C-projective structures are analogues of projective structures in the complex setting. The maximal dimension of the Lie algebra of c-projective symmetries of a complex connection o…