Extremality for the Vafa-Witten bound on the sphereReport as inadecuate

Extremality for the Vafa-Witten bound on the sphere - Download this document for free, or read online. Document in PDF available to download.

1 I3M - Institut de Mathématiques et de Modélisation de Montpellier

Abstract : We prove that the round metric on the sphere has the largest first eigenvalue of the Dirac operator among all metrics that are larger than it. As a corollary, this gives an alternative proof of an extremality result for scalar curvature due to M. Llarull.

keyword : scalar curvature Dirac operator scalar curvature. eigenvalue estimate

Author: Marc Herzlich -

Source: https://hal.archives-ouvertes.fr/


Related documents