Spinorial representation of surfaces into 4-dimensional space forms
Por:
Bayard P., Lawn, MA, Roth J.
Publicada:
1 dic 2013
Resumen:
In this paper we give a geometrically invariant spinorial representation of surfaces in four-dimensional space forms. In the Euclidean space, we obtain a representation formula which generalizes the Weierstrass representation formula of minimal surfaces. We also obtain as particular cases the spinorial characterizations of surfaces in and in given by Friedrich and by Morel.
Filiaciones:
Bayard P.:
Instituto de Fisica Y Matematicas, Universidad Michoacana de San Nicolas de Hidalgo, Ciudad Universitaria, C-3 C.P. 58040 Morelia, Michoacan, Mexico
Roth J.:
Laboratoire d'Analyse et de Mathématiques Appliquées (UMR 8050), Université Paris-Est Marne-la-Vallée Cité Descartes, Bâtiment Copernic, Bureau 4B097 5, boulevard Descartes, Champs sur Marne, 77454 Marne-la-vallée cedex 2, France
UT Austin, Austin, United States
Department of Mathematics, 1 University Station C1200, Austin, TX, 78712-0257, United States
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