Abstract
We show that the round sphere has the largest first eigenvalue of the Dirac operator amoung all metrics that are larger than it.
An Isaac Newton Institute ProgrammeGlobal Problems in Mathematical RelativityEigenvalue extremality for the Dirac operator on the sphereAuthor: Marc Herzlich (Montpellier) AbstractWe show that the round sphere has the largest first eigenvalue of the Dirac operator amoung all metrics that are larger than it. |