Convex Hypersurfaces of Prescribed Weingarten Curvatures
Convex Hypersurfaces of Prescribed Weingarten Curvatures
In this paper we study the existence of closed convex hypersurfaces in the Euclidean space Rn+1 such that a Weingarten curvature, regarded as a function of their unit normal, is equal to a given positive function on the unit sphere Sn. Two classical problems of this type, namely the Christoffel …