Extrinsic eigenvalue estimates of the Dirac operator

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dc.creatorChen, Daguang
dc.date2007-01-29
dc.date.accessioned2026-07-07T07:43:39Z
dc.date.available2026-07-07T07:43:39Z
dc.descriptionFor a compact spin manifold $M$ isometrically embedded into Euclidean space, we derive the extrinsic estimates from above and below for eigenvalues of the Dirac operators, which depend on the second fundamental form of the embedding. We also show the bounds of the ratio of the eigenvalues.
dc.description12pages,submitted to "Math.Z.", Jun 2006
dc.identifierhttps://arxiv.org/abs/math/0701847
dc.identifierhttp://arxiv.org/abs/math/0701847
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/122908
dc.subjectDifferential Geometry
dc.subject53C27,34L15, 35P15
dc.titleExtrinsic eigenvalue estimates of the Dirac operator
dc.typetext

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