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 language | English |
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Article number | 1850051 |
Journal | International Journal of Mathematics |
Volume | 29 |
Issue number | 8 |
DOIs | |
Publication status | Published - 1 Jul 2018 |
Bibliographical note
Publisher Copyright:© 2018 World Scientific Publishing Company.
Keywords
- Rotational surface
- minimal surface
- product space