Weierstrass representation for minimal surfaces in hyperbolic space

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Abstract

We give a representation formula for minimal surfaces in hyperbolic space. It is a natural generalization of the Weierstrass-Enneper formula for minimal surfaces in Euclidean space. Furthermore, we define the normal Gauss map and discuss some of its properties. © 1997 Applied Probability Trust.

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Kokubu, M. (1997). Weierstrass representation for minimal surfaces in hyperbolic space. Tohoku Mathematical Journal, 49(3), 367–377. https://doi.org/10.2748/tmj/1178225110

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