Extremality for the Vafa-Witten bound on the sphereReportar como inadecuado




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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





Autor: Marc Herzlich -

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



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