73 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Institute of Mathematics with Computer CenterRU12 papers
- Bashkir State UniversityRU7 papers
- Loughborough UniversityGB7 papers
- University of Hradec KrálovéCZ5 papers
- University of West Bohemia in PilsenCZ4 papers
- Lomonosov Moscow State UniversityRU3 papers
- Russian Academy of SciencesRU3 papers
- St Petersburg UniversityRU3 papers
- Tokyo University of ScienceJP3 papers
- Indian Institute of Technology MadrasIN2 papers
- ITMO UniversityRU2 papers
- Kyushu UniversityJP2 papers
5 papers · 1 filter
A vanishing theorem in -theory for spectral projections of a non-periodic magnetic Schrödinger operator
Yuri A. Kordyukov, Vladimir M. Manuilov
We consider the Schrödinger operator on a Riemannian manifold of bounded geometry, where is a coupling parameter, the magneti…
Trace formula for the magnetic Laplacian on a compact hyperbolic surface
Yuri A. Kordyukov, Iskander A. Taimanov
We compute the trace formula for the magnetic Laplacian on a compact hyperbolic surface of constant curvature with constant magnetic field for energies above the Mane critical leve…
Second-order PDEs in 4D with half-flat conformal structure
Sobhi Berjawi, Eugene Ferapontov, Boris Kruglikov +1
We study second-order PDEs in 4D for which the conformal structure defined by the characteristic variety of the equation is half-flat (self-dual or anti-self-dual) on every solutio…
Riemannian metrics and Laplacians for generalised smooth distributions
Iakovos Androulidakis, Yuri Kordyukov
We show that any generalised smooth distribution on a smooth manifold, possibly of non-constant rank, admits a Riemannian metric. Using such a metric, we attach a Laplace operator…
Equivalence of spectral projections in semiclassical limit and a vanishing theorem for higher traces in K-theory
Y. Kordyukov, V. Mathai, M. Shubin
In this paper, we study a refined L2 version of the semiclassical approximation of projectively invariant elliptic operators with invariant Morse type potentials on covering spaces…