Curvature estimates for Weingarten hypersurfaces in Riemannian manifolds
Gerhardt, Claus
Original · EN
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 +. F is only assumed to be monotone, symmetric, homogeneous of degree 1, concave and of class Cm,, m≥4.
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