SCHWARZ D-SURFACES IN Nil3

Heayong Shin; Sung Eun Koh; Young Wook Kim; Hyung Yong Lee; Seong Deog Yang

doi:10.2140/pjm.2020.305.721

SCHWARZ D-SURFACES IN Nil₃

Heayong Shin, Sung Eun Koh, Young Wook Kim, Hyung Yong Lee, Seong Deog Yang

Research output: Contribution to journal › Article › peer-review

Abstract

We construct a two parameter family of complete embedded triply periodic minimal surfaces in Nil₃, which are the analogues of the three parameter family of the Schwarz D-surfaces in the Euclidean three space.

Original language	English
Pages (from-to)	721-733
Number of pages	13
Journal	Pacific Journal of Mathematics
Volume	305
Issue number	2
DOIs	https://doi.org/10.2140/pjm.2020.305.721
Publication status	Published - 2020 Apr

Bibliographical note

Publisher Copyright:
© 2020, Mathematical Sciences Publishers.

Keywords

Heisenberg group
minimal surfaces

ASJC Scopus subject areas

General Mathematics

Access to Document

10.2140/pjm.2020.305.721

Cite this

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title = "SCHWARZ D-SURFACES IN Nil3",

abstract = "We construct a two parameter family of complete embedded triply periodic minimal surfaces in Nil3, which are the analogues of the three parameter family of the Schwarz D-surfaces in the Euclidean three space.",

keywords = "Heisenberg group, minimal surfaces",

author = "Heayong Shin and Koh, {Sung Eun} and Kim, {Young Wook} and Lee, {Hyung Yong} and Yang, {Seong Deog}",

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year = "2020",

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AU - Shin, Heayong

AU - Koh, Sung Eun

AU - Kim, Young Wook

AU - Lee, Hyung Yong

AU - Yang, Seong Deog

PY - 2020/4

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AB - We construct a two parameter family of complete embedded triply periodic minimal surfaces in Nil3, which are the analogues of the three parameter family of the Schwarz D-surfaces in the Euclidean three space.

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