Extremality for the Vafa-Witten bound on the sphere
Differential Geometry
2007-05-23 v2
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.
Keywords
Cite
@article{arxiv.math/0407530,
title = {Extremality for the Vafa-Witten bound on the sphere},
author = {Marc Herzlich},
journal= {arXiv preprint arXiv:math/0407530},
year = {2007}
}
Comments
to appear in G.A.F.A