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math.DG2008
Closed Weingarten hypersurfaces in warped product manifolds
F. Andrade, J. L. Barbosa, J. H. de Lira
Given a compact Riemannian manifold , we consider a warped product where is an open interval in $\Rr$. We suppose that the mean curvature of the fibe…
math.DG2007
Uniqueness of starshaped compact hypersurfaces with prescribed -th mean curvature in hyperbolic space
J. Lucas M. Barbosa, Jorge H. S. de Lira, Vladimir Oliker
Let be a given function defined on a Riemannian space. Under what conditions does there exist a compact starshaped hypersurface for which , when evaluated on , coinci…