Conformal geometry of surfaces in Lorentzian space forms (Q1912368)

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scientific article; zbMATH DE number 874404
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Conformal geometry of surfaces in Lorentzian space forms
scientific article; zbMATH DE number 874404

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    Conformal geometry of surfaces in Lorentzian space forms (English)
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    6 May 1996
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    Oriented spacelike surfaces in three-dimensional Lorentzian space forms are investigated. The authors use the area of the conformal Gauss map to define the Willmore functional. Then they derive a Bernstein type theorem for parabolic Willmore surfaces and study the stability of maximal surfaces for the Willmore functional.
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    Lorentzian space forms
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    Gauss map
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    Willmore surfaces
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