A comparison of the eigenvalues of the Dirac and Laplace operator on the two-dimensional torus

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dc.creatorAgricola, Ilka
dc.creatorAmmann, Bernd
dc.creatorFriedrich, Thomas
dc.date1998-12-08
dc.date1998-12-09
dc.date.accessioned2026-07-07T05:27:09Z
dc.date.available2026-07-07T05:27:09Z
dc.descriptionWe compare the eigenvalues of the Dirac and Laplace operator on a two-dimensional torus with respect to the trivial spin structure. In particular, we compute their variation up to order 4 upon deformation of the flat metric, study the corresponding Hamiltonian and discuss several families of examples.
dc.descriptionLatex2.09, 28 pages, with figures
dc.identifierhttps://arxiv.org/abs/math/9812044
dc.identifierhttp://arxiv.org/abs/math/9812044
dc.identifierManuscripta Math. 100, no. 2, 231-258 (1999)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77814
dc.subjectDifferential Geometry
dc.subject58G25, 53A05
dc.titleA comparison of the eigenvalues of the Dirac and Laplace operator on the two-dimensional torus
dc.typetext

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