Minimal rotational surfaces in the product space Q(?)(2) X S-1
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CitationArsan Gürpınar, G. & Dursun, U. (2018). Minimal rotational surfaces in the product space Q(?)(2) X S-1. International Journal of Mathematics, 29(8), 1-10. doi:10.1142/S0129167X18500519
In 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.