Adiabatic Limits and Spectral Geometry of Foliations

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We study spectral asymptotics for the Laplace operator on differential forms on a Riemannian foliated manifold equipped with a bundle-like metric in the case when the metric is blown up in directions normal to the leaves of the foliation. The asymptotical formula for the eigenvalue distribution function is obtained. The relationships with the spectral theory of leafwise Laplacian and with the noncommutative spectral geometry of foliations are discussed.
LaTeX, 30 pages

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Differential Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/152057

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/dg-ga/9506005
 http://arxiv.org/abs/dg-ga/9506005

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arXiv