Ruled minimal surfaces in the Berger sphere

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

doi:10.1016/j.difgeo.2015.02.007

Ruled minimal surfaces in the Berger sphere

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

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

5 Citations (Scopus)

Abstract

We show that any ruled minimal surface in the Berger sphere is a helicoid whose axis is a Hopf fiber by solving the ruled minimal surface equation in the parametric form.

Original language	English
Pages (from-to)	209-222
Number of pages	14
Journal	Differential Geometry and its Application
Volume	40
DOIs	https://doi.org/10.1016/j.difgeo.2015.02.007
Publication status	Published - 2015 Jun 1

Bibliographical note

Publisher Copyright:
© 2015 Elsevier B.V.

Keywords

53A35
Berger sphere
Helicoids
Ruled minimal surfaces

ASJC Scopus subject areas

Analysis
Geometry and Topology
Computational Theory and Mathematics

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10.1016/j.difgeo.2015.02.007

Cite this

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title = "Ruled minimal surfaces in the Berger sphere",

abstract = "We show that any ruled minimal surface in the Berger sphere is a helicoid whose axis is a Hopf fiber by solving the ruled minimal surface equation in the parametric form.",

keywords = "53A35, Berger sphere, Helicoids, Ruled minimal surfaces",

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

note = "Publisher Copyright: {\textcopyright} 2015 Elsevier B.V.",

year = "2015",

month = jun,

day = "1",

doi = "10.1016/j.difgeo.2015.02.007",

language = "English",

volume = "40",

pages = "209--222",

journal = "Differential Geometry and its Application",

issn = "0926-2245",

publisher = "Elsevier B.V.",

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T1 - Ruled 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 - 2015/6/1

Y1 - 2015/6/1

N2 - We show that any ruled minimal surface in the Berger sphere is a helicoid whose axis is a Hopf fiber by solving the ruled minimal surface equation in the parametric form.

AB - We show that any ruled minimal surface in the Berger sphere is a helicoid whose axis is a Hopf fiber by solving the ruled minimal surface equation in the parametric form.

KW - 53A35

KW - Berger sphere

KW - Helicoids

KW - Ruled minimal surfaces

UR - http://www.scopus.com/inward/record.url?scp=84924984914&partnerID=8YFLogxK

U2 - 10.1016/j.difgeo.2015.02.007

DO - 10.1016/j.difgeo.2015.02.007

M3 - Article

AN - SCOPUS:84924984914

SN - 0926-2245

VL - 40

SP - 209

EP - 222

JO - Differential Geometry and its Application

JF - Differential Geometry and its Application

ER -

Ruled minimal surfaces in the Berger sphere

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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