Extrinsic Bounds for Eigenvalues of the Dirac Operator

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dc.creatorBaer, Christian
dc.date1998-05-13
dc.date.accessioned2026-07-07T07:51:12Z
dc.date.available2026-07-07T07:51:12Z
dc.descriptionWe derive upper eigenvalue bounds for the Dirac operator of a closed hypersurface in a manifold with Killing spinors such as Euclidean space, spheres or hyperbolic space. The bounds involve the Willmore functional. Relations with the Willmore inequality are briefly discussed. In higher codimension we obtain bounds on the eigenvalues of the Dirac operator of the submanifold twisted with the spinor bundle of the normal bundle.
dc.description24 pages, LaTeX2e. to appear in Ann. Glob. Anal. Geom
dc.identifierhttps://arxiv.org/abs/math/9805064
dc.identifierhttp://arxiv.org/abs/math/9805064
dc.identifierAnn. Glob. Anal. Geom. 16 , 573-596 (1998)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/125427
dc.subjectDifferential Geometry
dc.subjectSpectral Theory
dc.subject58G25; 53C42
dc.titleExtrinsic Bounds for Eigenvalues of the Dirac Operator
dc.typetext

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