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Adiabatic limits and the spectrum of the Laplacian on foliated manifolds

Yuri A. Kordyukov·Andrey A. Yakovlev
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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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Yuri A. Kordyukov, Andrey A. Yakovlev. 2007-03-27. Adiabatic limits and the spectrum of the Laplacian on foliated manifolds. https://arxiv.org/abs/math/0703785

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