11 citations · 24 across the 7 of their papers we have counts for
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math.DG2008★ 2 cited
Adiabatic limits on Riemannian Sol-manifolds
Andrey A. Yakovlev
We obtain an asymptotic formula for the spectrum distribution function of the Laplace operator on a compact Riemannian Sol-manifold in the adiabatic limit determined by a one-dimen…
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…