Minkowski type problems for convex hypersurfaces in the sphere

Details Minkowski type problems for convex hypersurfaces in the sphere Minkowski type problems for convex hypersurfaces in the sphere

2005-09-09

arxiv.org/abs/math/0509217v6

Pure and Applied Mathematics Quarterly 3, 417 - 449 (2007) (Leon Simon special issue, part I)

Mathematics

Differential Geometry

Final version, the mod 2 degree argument has been replaced by a simpler argument

Scientific paper

We consider the problem $F=f(\nu)$ for strictly convex, closed hypersurfaces
in $S^{n+1}$ and solve it for curvature functions $F$ the inverses of which are
of class $(K)$.

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