Surfaces minimales compactes intégrées dans la sphère de Berger

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

doi:10.1016/j.crma.2018.01.011

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

Department of Mathematics

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

2 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.

Translated title of the contribution	Compact embedded minimal surfaces in the Berger sphere
Original language	French
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

ASJC Scopus subject areas

Mathematics(all)

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10.1016/j.crma.2018.01.011

Cite this

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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 Yang, {Seong Deog}",

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

year = "2018",

month = mar,

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",

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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

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.

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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 -

Surfaces minimales compactes intégrées dans la sphère de Berger

Abstract

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