55 citations · 444 across the 60 of their papers we have counts for
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math.CV2018
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…
gr-qc2018★ 8 cited
A criterion for the existence of Killing vectors in 3D
Boris Kruglikov, Kentaro Tomoda
A three-dimensional Riemannian manifold has locally 6, 4, 3, 2, 1 or none independent Killing vectors. We present an explicit algorithm for computing dimension of the infinitesimal…
math.DG2018
Poincare function for moduli of differential-geometric structures
Boris Kruglikov
The Poincare function is a compact form of counting moduli in local geometric problems. We discuss its property in relation to V.Arnold's conjecture, and derive this conjecture in…