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HELICOIDAL MINIMAL SURFACES IN ℍ2×ℝ
Published online by Cambridge University Press: 15 December 2011
Abstract
It is shown that a minimal surface in ℍ2×ℝ is invariant under a one-parameter group of screw motions if and only if it lies in the associate family of helicoids. It is also shown that the conjugate surfaces of the parabolic and hyperbolic helicoids in ℍ2×ℝ are certain types of catenoids.
MSC classification
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- Research Article
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- Copyright
- Copyright © Australian Mathematical Publishing Association Inc. 2011
Footnotes
The first named author was supported by NRF 2009-0086794. The second named author was supported by NRF 2009-0086794 and NRF 2009-0086441.
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