Surfaces in a pseudo-sphere with harmonic or 1-type pseudo-spherical Gauss map. - Université Polytechnique des Hauts-de-France Access content directly
Journal Articles Ann. Global Anal. Geom. Year : 2017

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

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.

Dates and versions

hal-03233877 , version 1 (25-05-2021)

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B. Bektas, J. van Der Veken, Luc Vrancken. Surfaces in a pseudo-sphere with harmonic or 1-type pseudo-spherical Gauss map.. Ann. Global Anal. Geom., 2017, 52, pp.45-55. ⟨10.1007/s10455-017-9548-2⟩. ⟨hal-03233877⟩
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