55 citations · 444 across the 60 of their papers we have counts for
71 papers
Prolongation rigidity of sub-free Lie algebras
Boris Kruglikov
We prove that if the 0-th Tanaka prolongation of a fundamental graded nilpotent Lie algebra $\mathfrak{m}=\mathfrak{g}_{-s}\oplus\do…
Variationality of conformal geodesics in dimension 3
Boris Kruglikov, Vladimir S. Matveev, Wijnand Steneker
Conformal geodesics form an invariantly defined family of unparametrized curves in a conformal manifold generalizing unparametrized geodesics/paths of projective connections. The e…
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…
Killing Tensors in Koutras-McIntosh Spacetimes
Boris Kruglikov, Wijnand Steneker
The Koutras-McIntosh family of metrics include conformally flat pp-waves and the Wils metric. It appeared in a paper of 1996 by Koutras-McIntosh as an example of a pure radiation s…
Almost every path structure is not variational
Boris S. Kruglikov, Vladimir S. Matveev
Given a smooth family of unparameterized curves such that through every point in every direction there passes exactly one curve, does there exist a Lagrangian with extremals being…