Geometrically induced discrete spectrum in curved tubes

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dc.creatorChenaud, B.
dc.creatorDuclos, P.
dc.creatorFreitas, P.
dc.creatorKrejcirik, D.
dc.date2004-12-07
dc.date.accessioned2026-07-07T06:19:19Z
dc.date.available2026-07-07T06:19:19Z
dc.descriptionThe Dirichlet Laplacian in curved tubes of arbitrary cross-section rotating with respect to the Tang frame along infinite curves in Euclidean spaces of arbitrary dimension is investigated. If the reference curve is not straight and its curvatures vanish at infinity, we prove that the essential spectrum as a set coincides with the spectrum of the straight tube of the same cross-section and that the discrete spectrum is not empty.
dc.descriptionLaTeX, 13 pages; to appear in Differential Geometry and its Applications
dc.identifierhttps://arxiv.org/abs/math/0412132
dc.identifierhttp://arxiv.org/abs/math/0412132
dc.identifierDifferential Geom. Appl. 23 (2005), no. 2, 95-105.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/95033
dc.subjectSpectral Theory
dc.subjectMathematical Physics
dc.subjectDifferential Geometry
dc.subject81Q10, 58J50, 53A04
dc.titleGeometrically induced discrete spectrum in curved tubes
dc.typetext

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