Minimal rotational surfaces in the product space Q(?)(2) X S-1


Arsan G. , DURSUN U.

INTERNATIONAL JOURNAL OF MATHEMATICS, cilt.29, 2018 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 29 Konu: 8
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1142/s0129167x18500519
  • Dergi Adı: INTERNATIONAL JOURNAL OF MATHEMATICS

Özet

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.