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

摘要

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.