Adiabatic limits on Riemannian Sol-manifolds

Details Adiabatic limits on Riemannian Sol-manifolds Adiabatic limits on Riemannian Sol-manifolds

2008-02-09

arxiv.org/abs/0802.1251v1

Mathematics

Differential Geometry

3 pages, to appear in Math. Notes

Scientific paper

10.1070/SM2008v199n02ABEH003921

We obtain an asymptotic formula for the spectrum distribution function of the
Laplace operator on a compact Riemannian Sol-manifold in the adiabatic limit
determined by a one-dimensional foliation defined by the orbits of a
left-invariant flow.

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