Compact embedded minimal surfaces in the Berger sphere

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

doi:10.1016/j.crma.2018.01.011

Compact embedded minimal surfaces in the Berger sphere

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

Department of Mathematics

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

3 Citations (Scopus)

Abstract

Choe and Soret [1] constructed infinitely many compact embedded minimal surfaces in S³ by desingularizing Clifford tori which meet each other along a great circle at the angle of the same size. We show their method works with some modifications to construct compact embedded minimal surfaces in the Berger sphere as well.

Original language	English
Pages (from-to)	333-339
Number of pages	7
Journal	Comptes Rendus Mathematique
Volume	356
Issue number	3
DOIs	https://doi.org/10.1016/j.crma.2018.01.011
Publication status	Published - 2018 Mar

Bibliographical note

Publisher Copyright:
© 2018

ASJC Scopus subject areas

General Mathematics

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10.1016/j.crma.2018.01.011

Cite this

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title = "Compact embedded minimal surfaces in the Berger sphere",

abstract = "Choe and Soret [1] constructed infinitely many compact embedded minimal surfaces in S3 by desingularizing Clifford tori which meet each other along a great circle at the angle of the same size. We show their method works with some modifications to construct compact embedded minimal surfaces in the Berger sphere as well.",

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

note = "Publisher Copyright: {\textcopyright} 2018",

year = "2018",

month = mar,

doi = "10.1016/j.crma.2018.01.011",

language = "English",

volume = "356",

pages = "333--339",

journal = "Comptes Rendus Mathematique",

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publisher = "Academie des sciences",

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TY - JOUR

T1 - Compact embedded minimal surfaces in the Berger sphere

AU - Shin, Heayong

AU - Kim, Young Wook

AU - Koh, Sung Eun

AU - Lee, Hyung Yong

AU - Yang, Seong Deog

PY - 2018/3

Y1 - 2018/3

N2 - Choe and Soret [1] constructed infinitely many compact embedded minimal surfaces in S3 by desingularizing Clifford tori which meet each other along a great circle at the angle of the same size. We show their method works with some modifications to construct compact embedded minimal surfaces in the Berger sphere as well.

AB - Choe and Soret [1] constructed infinitely many compact embedded minimal surfaces in S3 by desingularizing Clifford tori which meet each other along a great circle at the angle of the same size. We show their method works with some modifications to construct compact embedded minimal surfaces in the Berger sphere as well.

UR - https://www.scopus.com/pages/publications/85041595510

U2 - 10.1016/j.crma.2018.01.011

DO - 10.1016/j.crma.2018.01.011

M3 - Article

AN - SCOPUS:85041595510

SN - 1631-073X

VL - 356

SP - 333

EP - 339

JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

IS - 3

ER -

Compact embedded minimal surfaces in the Berger sphere

Abstract

Bibliographical note

ASJC Scopus subject areas

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