Surfaces in a pseudo-sphere with harmonic or 1-type pseudo-spherical Gauss map.
Résumé
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.
Domaines
Mathématiques [math]Origine | Fichiers produits par l'(les) auteur(s) |
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