most citedThe spectrum of the Laplace-Beltrami operator on the two-dimensional torus in adiabatic limit

2 citations · 2 across the 2 of their papers we have counts for

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2 papers

math.DG2007

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…

math.DG2006★ 2 cited

The spectrum of the Laplace-Beltrami operator on the two-dimensional torus in adiabatic limit

Andrey A. Yakovlev

We obtain an asymptotic formula for the eigenvalue distribution function of the Laplace-Beltrami operator on the two-dimensional torus in the adiabatic limit given by a Kronecker f…