Özet
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.
Orijinal dil | İngilizce |
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Makale numarası | 1850051 |
Dergi | International Journal of Mathematics |
Hacim | 29 |
Basın numarası | 8 |
DOI'lar | |
Yayın durumu | Yayınlandı - 1 Tem 2018 |
Bibliyografik not
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