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Weierstrass representation for surfaces with prescribed normal Gauss map and Gauss curvature in \(H^3\) - MaRDI portal

Weierstrass representation for surfaces with prescribed normal Gauss map and Gauss curvature in \(H^3\) (Q1770012)

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scientific article; zbMATH DE number 2152530
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English
Weierstrass representation for surfaces with prescribed normal Gauss map and Gauss curvature in \(H^3\)
scientific article; zbMATH DE number 2152530

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    Weierstrass representation for surfaces with prescribed normal Gauss map and Gauss curvature in \(H^3\) (English)
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    5 April 2005
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    The author studies surfaces with prescribed Gauss map and Gauss curvature in hyperbolic space. He obtains a Weierstrass type representation for such surfaces.
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    hyperbolic space
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    hyperbolic Gauss map
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    normal Gauss map
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    Gauss curvature.
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