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arXiv:math/0407530 [math.DG]AbstractReferencesReviewsResources

Extremality for the Vafa-Witten bound on the sphere

Marc Herzlich

Published 2004-07-30, updated 2004-11-29Version 2

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.

Comments: to appear in G.A.F.A
Categories: math.DG
Subjects: 53C27, 58J50, 58J60
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