Relative radial mass and rigidity of some warped product manifolds

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dc.creatorArcostanzo, Marc
dc.creatorDelay, Erwann
dc.date2008-02-22
dc.date.accessioned2026-07-07T09:22:45Z
dc.date.available2026-07-07T09:22:45Z
dc.descriptionWe give a Riccati type formula adapted for two metrics having the same geodesics rays starting from a point or orthogonal to an hypersurface, one of these metrics being a warped product if the dimension $n$ is greater than or equal to 3. This formula has non-trivial geometric consequences such as a positive mass type theorem and other rigidity results. We also apply our result to some standard models.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/0802.3270
dc.identifierhttp://arxiv.org/abs/0802.3270
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/155484
dc.subjectDifferential Geometry
dc.subject53C24; 53C21
dc.titleRelative radial mass and rigidity of some warped product manifolds
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