Extremality for the Vafa-Witten bound on the sphere

Details Extremality for the Vafa-Witten bound on the sphere Extremality for the Vafa-Witten bound on the sphere

2004-07-30

arxiv.org/abs/math/0407530v2

Mathematics

Differential Geometry

to appear in G.A.F.A

Scientific paper

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.

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