Classification of Minimal Lorentzian Surfaces in S-2(4)(1) with Constant Gaussian and Normal Curvatures


Dursun U., Turgay N. C.

TAIWANESE JOURNAL OF MATHEMATICS, cilt.20, sa.6, ss.1295-1311, 2016 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 20 Konu: 6
  • Basım Tarihi: 2016
  • Doi Numarası: 10.11650/tjm.20.2016.7345
  • Dergi Adı: TAIWANESE JOURNAL OF MATHEMATICS
  • Sayfa Sayıları: ss.1295-1311

Özet

In 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.