Mathematics – Differential Geometry
Scientific paper
2004-09-05
Acta Applicandae Mathematicae, vol. 83, no. 3, (II), 2004, pp 313-355
Mathematics
Differential Geometry
43 pages, 3 figures
Scientific paper
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.
Inoguchi Jun-ichi
Toda Magdalena
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