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arXiv · 0704.2755

Parabolic surfaces in hyperbolic space with constant curvature

Rafael López
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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 $aκ_1+bκ_2=c$, where $κ_i$ are the principal curvatures, and $a,b$ and $c$ are constant.

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Rafael López. 2007-04-20. Parabolic surfaces in hyperbolic space with constant curvature. https://arxiv.org/abs/0704.2755

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