Spectrum of the Laplacian on manifolds with Spin(9) holonomy

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dc.creatorLam, Kwan-hang
dc.date2007-11-09
dc.date2007-11-10
dc.date.accessioned2026-07-07T08:41:52Z
dc.date.available2026-07-07T08:41:52Z
dc.descriptionWe consider noncompact complete manifolds with Spin(9) holonomy and proved an one end result and a splitting type theorem under different conditions on the bottom of the spectrum. We proved that any harmonic functions with finite Dirichlet integral must be Cayley-harmonic, which allowed us to conclude an one end result. In the second part, we established a splitting type theorem by utilizing the Busemann function..
dc.description24 pages
dc.identifierhttps://arxiv.org/abs/0711.1428
dc.identifierhttp://arxiv.org/abs/0711.1428
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/141810
dc.subjectDifferential Geometry
dc.titleSpectrum of the Laplacian on manifolds with Spin(9) holonomy
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