Space-like surfaces in Minkowski space $E^4_1$ with pointwise 1-type Gauss map

  • U. Dursun
  • N. C. Turgay


We first classify space-like surfaces in the Minkowski space $E^4_1$, de Sitter space $S^3_1$, and hyperbolic space $H^3$ with harmonic Gauss map. Then we give a characterization and classification of space-like surfaces with pointwise 1-type Gauss map of the first kind. We also present some explicit examples.
How to Cite
Dursun, U., and N. C. Turgay. “Space-Like Surfaces in Minkowski Space $E^4_1$ With Pointwise 1-Type Gauss Map”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 71, no. 1, Jan. 2019, pp. 59-72,
Research articles