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Schwarz D-surfaces in
$\mathrm{Nil}_3$
Heayong Shin, Young Wook Kim, Sung-Eun Koh, Hyung Yong Lee and Seong-Deog Yang |
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Vol. 305 (2020), No. 2, 721–733
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DOI: 10.2140/pjm.2020.305.721
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Abstract |
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We construct a two parameter family of complete embedded triply periodic minimal surfaces in , which are the analogues of the three parameter family of the Schwarz D-surfaces in the Euclidean three space. |
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Keywords
minimal surfaces, Heisenberg group
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Mathematical Subject Classification 2010
Primary: 53A35
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Milestones
Received: 29 April 2019
Revised: 19 August 2019
Accepted: 11 October 2019
Published: 29 April 2020
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Authors |
| Heayong Shin | |
| Department of Mathematics Chung-Ang University Seoul South Korea |
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| Young Wook Kim | |
| Department of Mathematics Korea University Seoul South Korea |
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| Sung-Eun Koh | |
| Department of Mathematics Konkuk University Seoul South Korea |
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| Hyung Yong Lee | |
| Department of Mathematics Korea University Seoul South Korea |
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| Seong-Deog Yang | |
| Department of Mathematics Korea University Seoul South Korea |
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