Isospectral deformations of closed Riemannian manifolds with different scalar curvature

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dc.creatorGordon, Carolyn S.
dc.creatorGornet, Ruth
dc.creatorSchueth, Dorothee
dc.creatorWebb, David. L.
dc.creatorWilson, Edward N.
dc.date1997-10-06
dc.date.accessioned2026-07-07T12:33:13Z
dc.date.available2026-07-07T12:33:13Z
dc.descriptionWe construct the first examples of continuous families of isospectral Riemannian metrics that are not locally isometric on closed manifolds, more precisely, on $S^n\times T^m$, where $T^m$ is a torus of dimension $m\ge 2$ and $S^n$ is a sphere of dimension $n\ge 4$. These metrics are not locally homogeneous; in particular, the scalar curvature of each metric is nonconstant. For some of the deformations, the maximum scalar curvature changes during the deformation.
dc.descriptionamstex, 10 pages, no figures
dc.identifierhttps://arxiv.org/abs/dg-ga/9710004
dc.identifierhttp://arxiv.org/abs/dg-ga/9710004
dc.identifierAnn. Inst. Fourier 48 (1998), no. 2, 593-607
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/217048
dc.subjectDifferential Geometry
dc.titleIsospectral deformations of closed Riemannian manifolds with different scalar curvature
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