Communications in Analysis and Geometry

Volume 27 (2019)

Number 8

Weyl’s law on $RCD^{\ast} (K, N)$ metric measure spaces

Pages: 1869 – 1914

DOI: https://dx.doi.org/10.4310/CAG.2019.v27.n8.a8

Authors

Hui-Chun Zhang (Department of Mathematics, Sun Yat-sen University, Guangzhou, China)

Xi-Ping Zhu (Department of Mathematics, Sun Yat-sen University, Guangzhou, China)

Abstract

In this paper, we will prove the Weyl’s law for the asymptotic formula of Dirichlet eigenvalues on metric measure spaces with generalized Ricci curvature bounded from below.

Received 25 January 2017

Accepted 29 September 2017

Published 21 January 2020