A Weierstrass Representation Formula for Minimal Surfaces in ℍ3 and ℍ2 × ℝ |
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| Authors: | Francesco Mercuri Stefano Montaldo Paola Piu |
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| Institution: | (1) Departamento de Matematica, C.P. 6065, IMECC, UNICAMP, 13081–970 Campinas, SP, Brazil;(2) Università degli Studi di Cagliari, Dipartimento di Matematica, Via Ospedale 72, 09124 Cagliari |
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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.
Work partially supported by RAS, INdAM, FAPESP and CNPq |
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| Keywords: | Minimal immersions Weierstrass representation Heisenberg group Hyperbolic space |
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