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Journal Articles Annals of Global Analysis and Geometry Year : 2013

Spinorial representation of surfaces in four-dimensional Space Forms

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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Dates and versions

hal-00807496 , version 1 (03-04-2013)

Identifiers

  • HAL Id : hal-00807496 , version 1

Cite

Pierre Bayard, Marie-Amélie Lawn, Julien Roth. Spinorial representation of surfaces in four-dimensional Space Forms. Annals of Global Analysis and Geometry, 2013, 44 (4), pp.433-453. ⟨hal-00807496⟩
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