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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.Yayın The Killing magnetic curves in the anti-de Sitter space H31(TUBITAK, 2026-03-10) Dursun, UğurIn this paper, we study space-like, time-like and light-like Killing magnetic curves derived from Killing magnetic vector fields of the anti-de Sitter space H31 by using the half-space model H31 of H31 . We find the first integrals of the system of nonlinear differential equations that describe the Killing magnetic curves corresponding to some Killing vector fields of H31 , and then we give some particular solutions to obtain space-like, time-like and light-like magnetic curves of H31 . Also, we calculate the curvature and torsion of some space-like and time-like Killing magnetic curves, and the torsion of light-like Killing magnetic curves of H31.
