Closed Weingarten hypersurfaces in warped product manifolds

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dc.creatorAndrade, F.
dc.creatorBarbosa, J. L.
dc.creatorde Lira, J. H.
dc.date2008-10-18
dc.date.accessioned2026-07-07T10:11:31Z
dc.date.available2026-07-07T10:11:31Z
dc.descriptionGiven a compact Riemannian manifold $M$, we consider a warped product $\bar M = I \times_h M$ where $I$ is an open interval in $\Rr$. We suppose that the mean curvature of the fibers do not change sign. Given a positive differentiable function $ψ$ in $\bar M$, we find a closed hypersurface $Σ$ which is solution of an equation of the form $F(B)=ψ$, where $B$ is the second fundamental form of $Σ$ and $F$ is a function satisfying certain structural properties. As examples, we may exhibit examples of hypersurfaces with prescribed higher order mean curvature.
dc.descriptionPaper accepted to publication in Indiana University Mathematics Journal
dc.identifierhttps://arxiv.org/abs/0810.3306
dc.identifierhttp://arxiv.org/abs/0810.3306
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/171884
dc.subjectDifferential Geometry
dc.subjectAnalysis of PDEs
dc.subject53C42, 35J60
dc.titleClosed Weingarten hypersurfaces in warped product manifolds
dc.typetext

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