Timelike Minimal Surfaces via Loop Groups

Jun-ichi Inoguchi; Magdalena Toda

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Timelike Minimal Surfaces via Loop Groups

Jun-ichi Inoguchi·Magdalena Toda

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Abstract

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.

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BibTeX RIS

Jun-ichi Inoguchi, Magdalena Toda. 2004-09-05. Timelike Minimal Surfaces via Loop Groups. https://arxiv.org/abs/math/0409073

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