Curvature Estimates for Weingarten Hypersurfaces in Riemannian Manifolds
نویسنده
چکیده
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 C, m ≥ 4.
منابع مشابه
Closed Weingarten Hypersurfaces in Semi-riemannian Manifolds
The existence of closed hypersurfaces of prescribed curvature in semi-riemannian manifolds is proved provided there are barriers.
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