Surfaces in a pseudo-sphere with harmonic or 1-type pseudo-spherical Gauss map
Differential Geometry
2016-04-25 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1604.06657,
title = {Surfaces in a pseudo-sphere with harmonic or 1-type pseudo-spherical Gauss map},
author = {Burcu Bektaş and Joeri Van der Veken and Luc Vrancken},
journal= {arXiv preprint arXiv:1604.06657},
year = {2016}
}