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Yayın Minimal rotational surfaces in the product space ℚ² ϵ × S¹(World Scientific Publ Co Pte Ltd, 2018-07-01) Arsan Gürpınar, Güler; Dursun, UğurIn this work, we study minimal rotational surfaces in the product space Q(2)epsilon x S-1, where Q(2)epsilon denotes either the unit 2-sphere S-2 or the 2-dimensional hyperbolic space H-2 of constant curvature 1, according to epsilon = 1 or epsilon = 1, respectively. While there is only one kind of rotational surfaces in S-2 x S-1, there are three different possibilities for rotational surfaces in H-2 x S-1, 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 Q(2)epsilon x S-1.
