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 journalArticle

3 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 languageEnglish
Pages (from-to)209-222
Number of pages14
JournalDifferential Geometry and its Application
Volume40
DOIs
Publication statusPublished - 2015 Jun 1

Fingerprint

Ruled Surface
Minimal surface
Helicoid
Fiber
Fibers
Form

Keywords

  • 53A35
  • Berger sphere
  • Helicoids
  • Ruled minimal surfaces

ASJC Scopus subject areas

  • Computational Theory and Mathematics
  • Analysis
  • Geometry and Topology

Cite this

Ruled minimal surfaces in the Berger sphere. / Shin, Heayong; Kim, Young Wook; Koh, Sung Eun; Lee, Hyung Yong; Yang, Seong-Deog.

In: Differential Geometry and its Application, Vol. 40, 01.06.2015, p. 209-222.

Research output: Contribution to journalArticle

Shin, Heayong ; Kim, Young Wook ; Koh, Sung Eun ; Lee, Hyung Yong ; Yang, Seong-Deog. / Ruled minimal surfaces in the Berger sphere. In: Differential Geometry and its Application. 2015 ; Vol. 40. pp. 209-222.
@article{86566a7c01f64226b19fb8be62bd0137,
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 Seong-Deog Yang",
year = "2015",
month = "6",
day = "1",
doi = "10.1016/j.difgeo.2015.02.007",
language = "English",
volume = "40",
pages = "209--222",
journal = "Differential Geometry and its Applications",
issn = "0926-2245",
publisher = "Elsevier",

}

TY - JOUR

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

UR - http://www.scopus.com/inward/citedby.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

VL - 40

SP - 209

EP - 222

JO - Differential Geometry and its Applications

JF - Differential Geometry and its Applications

SN - 0926-2245

ER -