English

Weyl law for the volume spectrum

Differential Geometry 2018-02-12 v2 Geometric Topology Spectral Theory

Abstract

Given MM a Riemannian manifold with (possibly empty) boundary, we show that its volume spectrum {ωp(M)}pN\{\omega_p(M)\}_{p\in\mathbb{N}} satisfies a Weyl law that was conjectured by Gromov.

Keywords

Cite

@article{arxiv.1607.08721,
  title  = {Weyl law for the volume spectrum},
  author = {Yevgeny Liokumovich and Fernando C. Marques and André Neves},
  journal= {arXiv preprint arXiv:1607.08721},
  year   = {2018}
}

Comments

Revised version. To appear in Annals of Mathematics

R2 v1 2026-06-22T15:07:32.141Z