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A Weierstrass Representation Formula for Minimal Surfaces in ℍ3 and ℍ2 × ℝ

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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.

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Correspondence to Francesco Mercuri.

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Work partially supported by RAS, INdAM, FAPESP and CNPq

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Mercuri, F., Montaldo, S. & Piu, P. A Weierstrass Representation Formula for Minimal Surfaces in ℍ3 and ℍ2 × ℝ. Acta Math Sinica 22, 1603–1612 (2006). https://doi.org/10.1007/s10114-005-0637-y

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  • DOI: https://doi.org/10.1007/s10114-005-0637-y

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