Extremality for the Vafa-Witten bound on the sphere

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dc.creatorHerzlich, Marc
dc.date2004-07-30
dc.date2004-11-29
dc.date.accessioned2026-07-07T05:10:52Z
dc.date.available2026-07-07T05:10:52Z
dc.descriptionWe 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.
dc.descriptionto appear in G.A.F.A
dc.identifierhttps://arxiv.org/abs/math/0407530
dc.identifierhttp://arxiv.org/abs/math/0407530
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72063
dc.subjectDifferential Geometry
dc.subject53C27 ; 58J50 ; 58J60
dc.titleExtremality for the Vafa-Witten bound on the sphere
dc.typetext

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