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Minkowski type problems for convex hypersurfaces in the sphere

Pure and Applied Mathematics Quarterly (2007) 3(2) 417-449
DOI: 10.4310/PAMQ.2007.v3.n2.a2
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Abstract

We consider the problem F = f(v) for strictly convex, closed hypersurfaces in Sn+1 and solve it for curvature functions F the inverses of which are of class (K).

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Gerhardt, C. (2007). Minkowski type problems for convex hypersurfaces in the sphere. Pure and Applied Mathematics Quarterly, 3(2), 417–449. https://doi.org/10.4310/PAMQ.2007.v3.n2.a2

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