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20032026
most citedBreaks in the Hall-Petch Relationship after Severe Plastic Deformation of Magnesium, Aluminum, Copper, and Iron

73 citations

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5 papers · 1 filter

math.DG2024

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…

math.DG2022★ 9 cited

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…

math.DG2020★ 5 cited

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…

math.DG2018★ 1 cited

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…

math.DG2003★ 9 cited

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…