Conformal de Rham decomposition of Riemannian manifolds

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dc.creatorTojeiro, Ruy
dc.date2004-04-23
dc.date.accessioned2026-07-07T05:07:41Z
dc.date.available2026-07-07T05:07:41Z
dc.descriptionWe prove conformal versions of the local decomposition theorems of de Rham and Hiepko of a Riemannian manifold as a Riemannian or a warped product of Riemannian manifolds. Namely, we give necessary and sufficient conditions for a Riemannian manifold to be locally conformal to either a Riemannian or a warped product. We also obtain other related de Rham-type decomposition theorems. As an application, we study Riemannian manifolds that admit a Codazzi tensor with two distinct eigenvalues everywhere.
dc.description17 pages
dc.identifierhttps://arxiv.org/abs/math/0404434
dc.identifierhttp://arxiv.org/abs/math/0404434
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70954
dc.subjectDifferential Geometry
dc.subject53B25
dc.titleConformal de Rham decomposition of Riemannian manifolds
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