2 sonuçlar
Arama Sonuçları
Listeleniyor 1 - 2 / 2
Yayın Classification of minimal Lorentzian surfaces in S-2(4) (1) with Constant Gaussian and normal curvatures(Mathematical Society of The Repulic Of China, 2016-12) Dursun, Uğur; Turgay, Nurettin CenkIn this paper we consider Lorentzian surfaces in the 4-dimensional pseudo Riemannian sphere S-2(4)(1) with index 2 and curvature one. We obtain the complete classification of minimal Lorentzian surfaces S-2(4)(1) whose Gaussian and normal curvatures are constants. We conclude that such surfaces have the Gaussian curvature 1/3 and the absolute value of normal curvature 2/3. We also give some explicit examples.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.
