A Weierstrass representation formula for minimal surfaces in H_3 and H^2xR

MERCURI F;MONTALDO, STEFANO;PIU, MARIA PAOLA

2006-01-01

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Abstract

We give a general setting for constructing a Weierstrass representation formula for simply connected minimal surfaces in a Riemannian manifold. Then, we construct examples of minimal surfaces in the three dimensional Heisenberg group and in the product of the hyperbolic plane with the real line.