Isospectral metrics on five-dimensional spheres

Simple item page
dc.creatorSchueth, Dorothee
dc.date2001-02-16
dc.date2001-09-10
dc.date.accessioned2026-07-07T04:40:12Z
dc.date.available2026-07-07T04:40:12Z
dc.descriptionWe construct isospectral pairs of Riemannian metrics on S^5 and on B^6, thus lowering by three the dimension of spheres and balls on which such metrics have been constructed previously (S^{n\ge 8} and B^{n\ge 9}). We also construct continuous families of isospectral Riemannian metrics on S^7 and on B^8. In each of these examples, the metrics can be chosen equal to the standard metric outside certain subsets of arbitrarily small volume.
dc.description20 pages, AMS-TeX; to appear in: J. Diff. Geometry
dc.identifierhttps://arxiv.org/abs/math/0102126
dc.identifierhttp://arxiv.org/abs/math/0102126
dc.identifierJ. Diff. Geometry 58 (2001), 87 - 111
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60954
dc.subjectDifferential Geometry
dc.subjectSpectral Theory
dc.subject58J53
dc.titleIsospectral metrics on five-dimensional spheres
dc.typetext

Files

Collections

arXiv