HELICOIDAL MINIMAL SURFACES in ℍ 2×ℝ

Young Wook Kim, Sung Eun Koh, Heayong Shin, Seong-Deog Yang

Research output: Contribution to journal › Article

4 Citations (Scopus)

Abstract

It is shown that a minimal surface in ℍ 2× 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× ℝ are certain types of catenoids.

Original languageEnglish
Pages (from-to)135-149
Number of pages15
JournalBulletin of the Australian Mathematical Society
Volume86
Issue number1
DOIs
Publication statusPublished - 2012 Aug 1

Fingerprint

Catenoid
Minimal surface
If and only if
Invariant
Motion
Family

Keywords

  • associate minimal surfaces
  • catenoid
  • conjugate minimal surfaces
  • helicoid
  • helicoidal surface

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

HELICOIDAL MINIMAL SURFACES in ℍ 2×ℝ. / Kim, Young Wook; Koh, Sung Eun; Shin, Heayong; Yang, Seong-Deog.

In: Bulletin of the Australian Mathematical Society, Vol. 86, No. 1, 01.08.2012, p. 135-149.

Research output: Contribution to journal › Article

Kim, YW, Koh, SE, Shin, H & Yang, S-D 2012, 'HELICOIDAL MINIMAL SURFACES in ℍ 2×ℝ', Bulletin of the Australian Mathematical Society, vol. 86, no. 1, pp. 135-149. https://doi.org/10.1017/S0004972711003042
Kim YW, Koh SE, Shin H, Yang S-D. HELICOIDAL MINIMAL SURFACES in ℍ 2×ℝ. Bulletin of the Australian Mathematical Society. 2012 Aug 1;86(1):135-149. https://doi.org/10.1017/S0004972711003042
Kim, Young Wook ; Koh, Sung Eun ; Shin, Heayong ; Yang, Seong-Deog. / HELICOIDAL MINIMAL SURFACES in ℍ 2×ℝ. In: Bulletin of the Australian Mathematical Society. 2012 ; Vol. 86, No. 1. pp. 135-149.
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