Surfaces in a pseudo-sphere with harmonic or 1-type pseudo-spherical Gauss map (Q2014339)

The authors extend their results in [Result. Math. 71, No. 3--4, 867--887 (2017; Zbl 1377.53073)] and classify Riemannian and Lorentzian surfaces of arbitrary codimension in a pseudo-sphere, whose pseudo-spherical Gauss maps are of 1-type (due to B.-Y. Chen) or, in particular, harmonic. In some cases, a global classification is obtained, while in other cases the solutions are described by an explicit system of partial differential equations.