English

Minkowski type problems for convex hypersurfaces in the sphere

Differential Geometry 2007-06-13 v6

Abstract

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

Keywords

Cite

@article{arxiv.math/0509217,
  title  = {Minkowski type problems for convex hypersurfaces in the sphere},
  author = {Claus Gerhardt},
  journal= {arXiv preprint arXiv:math/0509217},
  year   = {2007}
}

Comments

Final version, the mod 2 degree argument has been replaced by a simpler argument