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).
Supported by the Russian Foundation of Basic Research (grant no. 06-01-00208).
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Kordyukov, Y.A., Yakovlev, A.A. (2008). Adiabatic Limits and the Spectrum of the Laplacian on Foliated Manifolds. In: Burghelea, D., Melrose, R., Mishchenko, A.S., Troitsky, E.V. (eds) C*-algebras and Elliptic Theory II. Trends in Mathematics. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-8604-7_6
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