38 citations · 277 across the 39 of their papers we have counts for
39 papers
Holonomy in pseudo-Hermitian geometry
Anton S. Galaev, Thomas Leistner, Felipe Leitner
We study the holonomy that is associated to a sub-Riemannian structure defined on the kernel of a global contact form. This includes the holonomy of Schouten's horizontal connectio…
On Losik classes of diffeomorphism pseudogroups
Yaroslav V. Bazaikin, Yury D. Efremenko, Anton S. Galaev
Let be a pseudogroup of local diffeomorphisms of an -dimensional smooth manifold . Following Losik we consider characteristic classes of the quotient as elements of…
Holonomy of K-contact sub-Riemannian manifolds
Anton S. Galaev
It is shown that the horizontal holonomy group of a K-contact sub-Riemannian manifold either coincides with the holonomy group of a Riemannian manifold, or it is a codimension-one…
Conformally homogeneous Lorentzian spaces
Dmitri V. Alekseevsky, Anton S. Galaev
We prove that if a 1-connected non-conformally flat conformal Lorentzian manifold admits a connected essential transitive group of conformal transformations, then there exi…
Lorentzian connections with parallel twistor-free torsion
Igor Ernst, Anton S. Galaev
We describe Lorentzian manifolds that admit metric connections with parallel torsion having zero twistorial component and non-zero vectorial component. We also describe Lorentzian…
Reductive homogeneous Lorentzian manifolds
Dmitri Alekseevsky, Ioannis Chrysikos, Anton Galaev
We study homogeneous Lorentzian manifolds of a connected reductive Lie group modulo a connected reductive subgroup , under the assumption that is (almost) -…