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

Bektaş B., Van der Veken J., Vrancken L.

ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, vol.52, no.1, pp.45-55, 2017 (SCI-Expanded) identifier identifier


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.