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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.
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https://hal-uphf.archives-ouvertes.fr/hal-03233877
Contributor : Frédéric Pruvost Connect in order to contact the contributor
Submitted on : Tuesday, May 25, 2021 - 10:18:45 AM
Last modification on : Friday, January 7, 2022 - 3:46:38 AM

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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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