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HELICOIDAL MINIMAL SURFACES IN H-2 x R
- Issue Date
- 8월-2012
- Publisher
- CAMBRIDGE UNIV PRESS
- Keywords
- helicoidal surface; helicoid; catenoid; associate minimal surfaces; conjugate minimal surfaces
- Citation
- BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, v.86, no.1, pp.135 - 149
- Indexed
- SCIE
SCOPUS
- Journal Title
- BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY
- Volume
- 86
- Number
- 1
- Start Page
- 135
- End Page
- 149
- ISSN
- 0004-9727
- Abstract
- It is shown that a minimal surface in H-2 x 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 H-2 x R are certain types of catenoids.
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