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arXiv:math/0409073 [math.DG]AbstractReferencesReviewsResources

Timelike Minimal Surfaces via Loop Groups

Jun-ichi Inoguchi, Magdalena Toda

Published 2004-09-05Version 1

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.

Comments: 43 pages, 3 figures
Journal: Acta Applicandae Mathematicae, vol. 83, no. 3, (II), 2004, pp 313-355
Categories: math.DG
Subjects: 53A10, 58E20, 22E67
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