Weierstrass representation for minimal surfaces in hyperbolic space

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概要

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• 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.

• 東北大学の論文

著者

• KOKUBU Masatoshi

  Department of Mathematics School of Engineering Tokyo Denki University

• Kokubu Masatoshi

  Department Of Natural Sciences Faculty Of Engineering Tokyo Denki University

関連論文

• Asymptotic behavior of flat surfaces in hyperbolic 3-space
• Flat fronts in hyperbolic 3-space and their caustics
• Weierstrass representation for minimal surfaces in hyperbolic space

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