Weyl law for the volume spectrum


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


Yevgeny Liokumovich

Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA

Fernando C. Marques

Department of Mathematics, Princeton University, Princeton, NJ

André Neves

Department of Mathematics, University of Chicago, Chicago, IL and Imperial College London, London, UK