Abstract
We show a global representation formula for a certain kind of Weingarten surface in hyperbolic three-space, which is based on the formula due to Gálvez, Martínez and Milán. As an application of the representation formula, we also investigate surfaces with harmonic-mean curvature one (HMC-1 surfaces). We allow them to have certain kinds of singularities, and discuss some global properties.
Citation
Masatoshi KOKUBU. "Surfaces and Fronts with Harmonic-mean Curvature One in Hyperbolic Three-space." Tokyo J. Math. 32 (1) 177 - 200, June 2009. https://doi.org/10.3836/tjm/1249648416
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