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arXiv · 1210.7386

Spinorial Representation of Surfaces into 4-dimensional Space Forms

Pierre Bayard·Marie-Amelie Lawn·Julien Roth
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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 $\R^3$ and in $S^3$ given by T. Friedrich and by B. Morel

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Pierre Bayard, Marie-Amelie Lawn, Julien Roth. 2012-10-28. Spinorial Representation of Surfaces into 4-dimensional Space Forms. https://arxiv.org/abs/1210.7386

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