13 citations · 58 across the 14 of their papers we have counts for
11 papers · 1 filter
Closed counterexamples to Toponogov's question on mixed curvature
Yaroslav Bazaikin
We give a negative answer to Toponogov's question whether positive mixed sectional curvature on a closed manifold forces the Ferus-Adams dimension bound for a totally geodesic foli…
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…
Non-diffeomorphic Reeb foliations and modified Godbillon-Vey class
Yaroslav V. Bazaikin, Anton S. Galaev, Pavel Gumenyuk
The paper deals with a modified Godbillon-Vey class defined by Losik for codimension-one foliations. This characteristic class takes values in the cohomology of the second order fr…
Losik classes for codimension-one foliations
Yaroslav V. Bazaikin, Anton S. Galaev
Following Losik's approach to Gelfand's formal geometry, certain characteristic classes for codimension-one foliations coming from the Gelfand-Fuchs cohomology are considered. Suff…
Complete Riemannian Holonomy Metrics on Deformations of Cones over
Ya. V. Bazaikin, O. A. Bogoyavlenskaya
Complete Riemannian metrics with holonomy group are constructed on the manifolds obtained by deformations of cones over .
On causal properties of symmetric Lorentzian spaces
Ya. V. Bazaikin
Causal properties of Lorentzian symmetric spaces are investigated in the paper. The global hyperbolicity of the Cahen--Wallach Lorentzian symmetric spaces is proved.