Adiabatic limits and the spectrum of the Laplacian on foliated manifolds

Details Adiabatic limits and the spectrum of the Laplacian on foliated manifolds Adiabatic limits and the spectrum of the Laplacian on foliated manifolds

2007-03-27

arxiv.org/abs/math/0703785v1

Mathematics

Differential Geometry

22 pages

Scientific paper

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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