9 citations · 17 across the 8 of their papers we have counts for
9 papers · 1 filter
Vanishing theorem for transverse Dirac operators on Riemannian foliations
Yuri A. Kordyukov
We obtain a vanishing theorem for the half-kernel of a transverse ${\rm Spin}\sp c$ Dirac operator on a compact manifold endowed with a transversely almost complex Riemannian folia…
The Egorov theorem for transverse Dirac type operators on foliated manifolds
Yuri A. Kordyukov
Egorov's theorem for transversally elliptic operators, acting on sections of a vector bundle over a compact foliated manifold, is proved. This theorem relates the quantum evolution…
Adiabatic limits and the spectrum of the Laplacian on foliated manifolds
Yuri A. Kordyukov, Andrey A. Yakovlev
We present some recent results on the behavior of the spectrum of the differential form Laplacian on a Riemannian foliated manifold when the metric on the ambient manifold is blown…
Lefschetz distribution of Lie foliations
Jesus A. Alvarez Lopez, Yuri A. Kordyukov
Let be a Lie foliation on a closed manifold with structural Lie group . Its transverse Lie structure can be considered as a transverse action of on $(M,…
Noncommutative spectral geometry of Riemannian foliations: some results and open problems
Yuri Kordyukov
We review some applications of noncommutative geometry to the study of transverse geometry of Riemannian foliations and discuss open problems.
Noncommutative geometry of foliations
Yuri A. Kordyukov
We review basic notions and methods of noncommutative geometry and their applications to analysis and geometry on foliated manifolds.