Mathematics – Differential Geometry
Scientific paper
2004-07-30
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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