Isospectral simply-connected homogeneous spaces and the spectral rigidity of group actions

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dc.creatorSutton, Craig J.
dc.date2003-01-31
dc.date.accessioned2026-07-07T04:54:49Z
dc.date.available2026-07-07T04:54:49Z
dc.descriptionWe generalize Sunada's method to produce new examples of closed, locally non-isometric manifolds which are isospectral. In particular, we produce pairs of isospectral, simply-connected, locally non-isometric normal homogeneous spaces. These pairs also allow us to see that in general group actions with discrete spectra are not determined up to measurable conjugacy by their spectra. In particular, we show this for lattice actions.
dc.description16 pages. To appear in Commment. Math. Helv
dc.identifierhttps://arxiv.org/abs/math/0301376
dc.identifierhttp://arxiv.org/abs/math/0301376
dc.identifierComment. Math. Helv. 77 (2002) 701-717
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66405
dc.subjectDifferential Geometry
dc.subjectSpectral Theory
dc.subject58J50
dc.titleIsospectral simply-connected homogeneous spaces and the spectral rigidity of group actions
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