Adiabatic limits and the spectrum of the Laplacian on foliated manifolds

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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).
22 pages

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Differential Geometry, Spectral Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/126474

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0703785
 http://arxiv.org/abs/math/0703785

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arXiv