Minimal rotational surfaces in the product space ℚ2 ϵ × S1

Güler Gürpinar Arsan*, Uǧur Dursun

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

In this work, we study minimal rotational surfaces in the product space ℚ2 ϵ × S1, where ℚ2 ϵ denotes either the unit 2-sphere 2 or the 2-dimensional hyperbolic space ℍ2 of constant curvature - 1, according to ϵ = 1 or ϵ = -1, respectively. While there is only one kind of rotational surfaces in S2 × S1, there are three different possibilities for rotational surfaces in ℍ2 × S1, according to the types of the induced inner product on the rotational axis of the surface. We determine the profile curves of all minimal rotational surfaces in ℚ2 ϵ × S1.

Original languageEnglish
Article number1850051
JournalInternational Journal of Mathematics
Volume29
Issue number8
DOIs
Publication statusPublished - 1 Jul 2018

Bibliographical note

Publisher Copyright:
© 2018 World Scientific Publishing Company.

Keywords

  • minimal surface
  • product space
  • Rotational surface

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