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

Authors
  • Bektaş, Burcu
  • Van der Veken, Joeri
  • Vrancken, Luc
Type
Preprint
Publication Date
Apr 22, 2016
Submission Date
Apr 22, 2016
Identifiers
arXiv ID: 1604.06657
Source
arXiv
License
Yellow
External links

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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