Parabolic surfaces in hyperbolic space with constant curvature

Details Parabolic surfaces in hyperbolic space with constant curvature Parabolic surfaces in hyperbolic space with constant curvature

2007-04-20

arxiv.org/abs/0704.2755v1

Mathematics

Differential Geometry

8 pages, 6 figures. This is the text of the talk presented in the International Congress on Pure and Applied Differential Geom

Scientific paper

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.

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