Tohoku Mathematical Journal, Second Series
Online ISSN : 2186-585X
Print ISSN : 0040-8735
ISSN-L : 0040-8735
WEIERSTRASS REPRESENTATION FOR MINIMAL SURFACES IN HYPERBOLIC SPACE
MASATOSHI KOKUBU
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1997 Volume 49 Issue 3 Pages 367-377

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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.

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