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

^*Corresponding author for this work

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

@article{0ee1f8f619c0434db6597bf657064b55,

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\}",

note = "Publisher Copyright: {\textcopyright} 2020, Mathematical Sciences Publishers.",

year = "2020",

month = apr,

doi = "10.2140/pjm.2020.305.721",

language = "English",

volume = "305",

pages = "721--733",

journal = "Pacific Journal of Mathematics",

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T1 - SCHWARZ D-SURFACES IN Nil3

AU - Shin, Heayong

AU - Koh, Sung Eun

AU - Kim, Young Wook

AU - Lee, Hyung Yong

AU - Yang, Seong Deog

PY - 2020/4

Y1 - 2020/4

N2 - 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.

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.

KW - Heisenberg group

KW - minimal surfaces

UR - https://www.scopus.com/pages/publications/85097171481

U2 - 10.2140/pjm.2020.305.721

DO - 10.2140/pjm.2020.305.721

M3 - Article

AN - SCOPUS:85097171481

SN - 0030-8730

VL - 305

SP - 721

EP - 733

JO - Pacific Journal of Mathematics

JF - Pacific Journal of Mathematics

IS - 2

ER -