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Abstract
We prove curvature estimates for general curvature functions. As an application we show the existence of closed, strictly convex hypersurfaces with prescribed curvature F, where the defining cone of F is Γ+. F is only assumed to be monotone, symmetric, homogeneous of degree 1, concave and of class Cm,α, m ≥ 4.
Received: 2007-07-05
Revised: 2007-11-08
Published Online: 2008-05-09
Published in Print: 2008-March
© de Gruyter 2008
