Surfaces minimales compactes intégrées dans la sphère de Berger

Translated title of the contribution: Compact embedded minimal surfaces in the Berger sphere

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

Research output: Contribution to journalArticle

1 Citation (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 languageFrench
Pages (from-to)333-339
Number of pages7
JournalComptes Rendus Mathematique
Volume356
Issue number3
DOIs
Publication statusPublished - 2018 Mar 1

Fingerprint

Minimal surface
Clifford Torus
Great circle
Angle

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Surfaces minimales compactes intégrées dans la sphère de Berger. / Shin, Heayong; Kim, Young Wook; Koh, Sung Eun; Lee, Hyung Yong; Yang, Seong-Deog.

In: Comptes Rendus Mathematique, Vol. 356, No. 3, 01.03.2018, p. 333-339.

Research output: Contribution to journalArticle

Shin, Heayong ; Kim, Young Wook ; Koh, Sung Eun ; Lee, Hyung Yong ; Yang, Seong-Deog. / Surfaces minimales compactes intégrées dans la sphère de Berger. In: Comptes Rendus Mathematique. 2018 ; Vol. 356, No. 3. pp. 333-339.
@article{cda38288cdce46a6834abb647ccb216b,
title = "Surfaces minimales compactes int{\'e}gr{\'e}es dans la sph{\`e}re de Berger",
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 Seong-Deog Yang",
year = "2018",
month = "3",
day = "1",
doi = "10.1016/j.crma.2018.01.011",
language = "French",
volume = "356",
pages = "333--339",
journal = "Comptes Rendus Mathematique",
issn = "1631-073X",
publisher = "Elsevier Masson",
number = "3",

}

TY - JOUR

T1 - Surfaces minimales compactes intégrées dans la sphère de Berger

AU - Shin, Heayong

AU - Kim, Young Wook

AU - Koh, Sung Eun

AU - Lee, Hyung Yong

AU - Yang, Seong-Deog

PY - 2018/3/1

Y1 - 2018/3/1

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 - http://www.scopus.com/inward/record.url?scp=85041595510&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85041595510&partnerID=8YFLogxK

U2 - 10.1016/j.crma.2018.01.011

DO - 10.1016/j.crma.2018.01.011

M3 - Article

AN - SCOPUS:85041595510

VL - 356

SP - 333

EP - 339

JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

SN - 1631-073X

IS - 3

ER -