A Riemannian mapping type Theorem in higher dimensions, Part I: the conformally flat case with umbilic boundary

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dc.creatorAhmedou, Mohameden Ould
dc.date2002-08-13
dc.date.accessioned2026-07-07T04:50:13Z
dc.date.available2026-07-07T04:50:13Z
dc.descriptionIn this paper we prove that every Riemannian metric on a locally conformally flat manifold with umbilic boundary can be conformally deformed to a scalar flat metric having constant mean curvature. This result can be seen as a generalization to higher dimensions of the well known Riemann mapping Theorem in the plane.
dc.identifierhttps://arxiv.org/abs/math/0208101
dc.identifierhttp://arxiv.org/abs/math/0208101
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64711
dc.subjectAnalysis of PDEs
dc.subjectDifferential Geometry
dc.subject35J60; 53C21; 58G30
dc.titleA Riemannian mapping type Theorem in higher dimensions, Part I: the conformally flat case with umbilic boundary
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