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 02139

Fernando C. Marques

Department of Mathematics, Princeton University, Fine Hall, Princeton, NJ 08544

André Neves

Department of Mathematics, University of Chicago, Chicago, IL, USA and Imperial College London, Huxley Building, 180 Queen's Gate, London SW7 2RH, United Kingdom