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Adiabatic limits and the spectrum of the Laplacian on foliated manifolds

Yuri A. Kordyukov, Andrey A. Yakovlev

math.DGarXiv:math/0703785

Abstract

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 up in directions normal to the leaves (in the adiabatic limit).

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