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June 2009 Surfaces and Fronts with Harmonic-mean Curvature One in Hyperbolic Three-space
Masatoshi KOKUBU
Tokyo J. Math. 32(1): 177-200 (June 2009). DOI: 10.3836/tjm/1249648416


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.


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Masatoshi KOKUBU. "Surfaces and Fronts with Harmonic-mean Curvature One in Hyperbolic Three-space." Tokyo J. Math. 32 (1) 177 - 200, June 2009.


Published: June 2009
First available in Project Euclid: 7 August 2009

zbMATH: 1211.53079
MathSciNet: MR2541163
Digital Object Identifier: 10.3836/tjm/1249648416

Primary: 53C45
Secondary: 53A35

Rights: Copyright © 2009 Publication Committee for the Tokyo Journal of Mathematics

Vol.32 • No. 1 • June 2009
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