대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제49권5호
  • /
  • Pages.1089-1099
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  • 2012
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  • 1015-8634(pISSN)
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  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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SINGLY-PERIODIC MINIMAL SURFACES IN ℍ2×ℝ

  • Pyo, Jun-Cheol (Department of Mathematics Pusan National University)
  • 투고 : 2011.07.06
  • 발행 : 2012.09.30
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⟨ 이전 논문 다음 논문 ⟩

초록

We construct three kinds of complete embedded singly-periodic minimal surfaces in $\mathbb{H}^2{\times}\mathbb{R}$. The first one is a 1-parameter family of minimal surfaces which is asymptotic to a horizontal plane and a vertical plane; the second one is a 2-parameter family of minimal surfaces which has a fundamental piece of finite total curvature and is asymptotic to a finite number of vertical planes; the last one is a 2-parameter family of minimal surfaces which fill $\mathbb{H}^2{\times}\mathbb{R}$ by finite Scherk's towers.

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참고문헌

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피인용 문헌

  1. Minimal rotational surfaces in the product space ℚ𝜀2 × 𝕊1 vol.29, pp.08, 2018, https://doi.org/10.1142/S0129167X18500519