13 citations · 58 across the 14 of their papers we have counts for
14 papers
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…
Numerical analysis of topological characteristics of three-dimensional geological models of oil and gas fields
Ya. V. Bazaikin, V. A. Baikov, I. A. Taimanov +1
We discuss the study of topological characteristics of random fields that are used for numerical simulation of oil and gas reservoirs and numerical algorithms (see arXiv:1302.3669)…
On a numerical algorithm for computing topological characteristics of three-dimensional bodies
Ya. V. Bazaikin, I. A. Taimanov
We present an algorithm for computing the main topological characteristics of three-dimensional bodies. The algorithm is based on a discretization of Morse theory and uses discrete…