Kato-type curvature conditions and the Cheeger constant

14.11.2018, 16:15 Uhr  –  Campus Golm, Haus 9, Raum 2.09.1.10
Forschungsseminar Diskrete Spektraltheorie

Christian Rose (Technische Universität Chemnitz)

We show that if the negative part of the Ricci curvature of a compact manifold is in the Kato-class, the Cheeger constant of the manifold can be bounded below by a positive constant. This is obtained by suitable heat kernel and eigenvalue estimates as well as a Buser-type inequality which relates the Cheeger constant and the first non-zero eigenvalue.