2016/04/22 by Bektaş, Burcu, Van der Veken, Joeri, Vrancken, Luc
#Differential Geometry (math.DG) #FOS: Mathematics
paper · doi:10.48550/arxiv.1604.06657
We give a complete classification of Riemannian and Lorentzian surfaces of arbitrary codimension in a pseudo-sphere whose pseudo-spherical Gauss maps are of 1-type or, in particular, harmonic. In some cases a concrete global classification is obtained, while in other cases the solutions are described by an explicit system of partial differential equations.