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arXiv · 1604.06657

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

Burcu Bektaş·Joeri Van der Veken·Luc Vrancken
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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.

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Burcu Bektaş, Joeri Van der Veken, Luc Vrancken. 2016-04-22. Surfaces in a pseudo-sphere with harmonic or 1-type pseudo-spherical Gauss map. https://arxiv.org/abs/1604.06657

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