Timelike Minimal Surfaces via Loop Groups

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We study manifolds with split-complex structure and apply some general results to the study of Lorentz surfaces. In particular, we apply our results to timelike minimal immersions. The conformal realization of these surfaces is obtained using a representation based on loop groups. The classical Weierstrass representation (integral formula) is recovered as a byproduct of this general setting.
43 pages, 3 figures

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Differential Geometry, 53A10, 58E20, 22E67

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http://salesiana.dossiersoluciones.com/handle/123456789/72373

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0409073
 http://arxiv.org/abs/math/0409073
 Acta Applicandae Mathematicae, vol. 83, no. 3, (II), 2004, pp 313-355

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arXiv