SPACE-LIKE SURFACES IN THE MINKOWSKI SPACE E-1(4) WITH POINTWISE 1-TYPE GAUSS MAPS


Dursun U., Turgay N. C.

UKRAINIAN MATHEMATICAL JOURNAL, cilt.71, sa.1, ss.64-80, 2019 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 71 Konu: 1
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1007/s11253-019-01625-8
  • Dergi Adı: UKRAINIAN MATHEMATICAL JOURNAL
  • Sayfa Sayıları: ss.64-80

Özet

We first classify space-like surfaces in the Minkowski space E-1(4), de Sitter space S-1(3), and hyperbolic space H-3 with harmonic Gauss maps. Then we characterize and present a classification of the space-like surfaces with pointwise 1-type Gauss maps of the first kind. We also give some explicit examples.