English

Adiabatic limits on Riemannian Sol-manifolds

Differential Geometry 2009-11-13 v1 Spectral Theory

Abstract

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.

Keywords

Cite

@article{arxiv.0802.1251,
  title  = {Adiabatic limits on Riemannian Sol-manifolds},
  author = {Andrey A. Yakovlev},
  journal= {arXiv preprint arXiv:0802.1251},
  year   = {2009}
}

Comments

3 pages, to appear in Math. Notes

R2 v1 2026-06-21T10:11:05.299Z