27 citations · 202 across the 64 of their papers we have counts for
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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,…
The periodic magnetic Schrödinger operators: spectral gaps and tunneling effect
Bernard Helffer, Yuri A. Kordyukov
A periodic Schrödinger operator on a noncompact Riemannian manifold such that endowed with a properly discontinuous cocompact isometric action of a discre…