Parabolic surfaces in hyperbolic space with constant curvature

Rafael López

Parabolic surfaces in hyperbolic space with constant curvature

Differential Geometry 2007-05-23 v1

Authors: Rafael López

Comments: 8 pages, 6 figures. This is the text of the talk presented in the International Congress on Pure and Applied Differential Geometry, PADGE 2007, 10-13 April, 2007. This is a brief of two preprints due to the author and that appear in the References section

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Abstract

We study parabolic linear Weingarten surfaces in hyperbolic space $\rlopezh^3$ . In particular, we classify two family of parabolic surfaces: surfaces with constant Gaussian curvature and surfaces that satisfy the relation $a\kappa_1+b\kappa_2=c$ , where $\kappa_i$ are the principal curvatures, and $a,b$ and $c$ are constant.

Keywords

surfaces with constant mean curvature hyperbolic surfaces hypersurfaces

Cite

@article{arxiv.0704.2755,
  title  = {Parabolic surfaces in hyperbolic space with constant curvature},
  author = {Rafael López},
  journal= {arXiv preprint arXiv:0704.2755},
  year   = {2007}
}

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