Discrete spectrum and Weyl's asymptotic formula for incomplete manifolds

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dc.creatorMasamune, Jun
dc.creatorRossman, Wayne
dc.date2008-06-28
dc.date.accessioned2026-07-07T09:47:21Z
dc.date.available2026-07-07T09:47:21Z
dc.descriptionMotivated by recent interest in the spectrum of the Laplacian of incomplete surfaces with isolated conical singularities, we consider more general incomplete m-dimensional manifolds with singularities on sets of codimension at least 2. With certain restrictions on the metric, we establish that the spectrum is discrete and satisfies Weyl's asymptotic formula.
dc.identifierhttps://arxiv.org/abs/0806.4655
dc.identifierhttp://arxiv.org/abs/0806.4655
dc.identifierAdvanced Studies in Pure Math., Minimal Surfaces, Geometric Analysis and Symplectic Geometry 34 (2002), 219-229
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/163842
dc.subjectDifferential Geometry
dc.subject58J50; 35J05; 35P10; 35P20; 53C20
dc.titleDiscrete spectrum and Weyl's asymptotic formula for incomplete manifolds
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