Spinorial Representation of Surfaces into 4-dimensional Space Forms
Differential Geometry
2017-02-22 v1
Abstract
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 T. Friedrich and by B. Morel
Keywords
Cite
@article{arxiv.1210.7386,
title = {Spinorial Representation of Surfaces into 4-dimensional Space Forms},
author = {Pierre Bayard and Marie-Amelie Lawn and Julien Roth},
journal= {arXiv preprint arXiv:1210.7386},
year = {2017}
}
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21 pages