Minkowski type problems for convex hypersurfaces in hyperbolic space

Claus Gerhardt

Minkowski type problems for convex hypersurfaces in hyperbolic space

Differential Geometry 2007-05-23 v2

Authors: Claus Gerhardt

Abstract

We consider the problem $F=f(\nu)$ for strictly convex, closed hypersurfaces in hyperbolic space and solve it for curvature functions $F$ the inverses of which are of class $(K^*)$ .

Keywords

curvature flow hypersurfaces hyperbolic geometry

Cite

@article{arxiv.math/0602597,
  title  = {Minkowski type problems for convex hypersurfaces in hyperbolic space},
  author = {Claus Gerhardt},
  journal= {arXiv preprint arXiv:math/0602597},
  year   = {2007}
}

Comments

32 pages, a pdf version can also be retrieved from http://www.math.uni-heidelberg.de/studinfo/gerhardt/Minkowsi2.pdf and bibtex data from http://www.math.uni-heidelberg.de/studinfo/gerhardt/bibtexcgminkowskih.html, v2: Corrected the title only

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