A Xin-Aiyama type theorem for spacelike hypersurfaces in - \(\mathbb R \times \mathbb H^{n}\) (Q2786058)
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scientific article; zbMATH DE number 5786384
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A Xin-Aiyama type theorem for spacelike hypersurfaces in - \(\mathbb R \times \mathbb H^{n}\) |
scientific article; zbMATH DE number 5786384 |
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16 September 2010
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spacelike hypersurfaces
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Riemannian space forms
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immersion
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Lorentzian product space
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A Xin-Aiyama type theorem for spacelike hypersurfaces in - \(\mathbb R \times \mathbb H^{n}\) (English)
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The author has proved a Xin-Aiyama type theorem for complete space-like hypersurfaces immersed with constant mean curvature in the Lorentzian product space \(\mathbb{R}\times\mathbb{H}^n\). This has been obtained by applying the method employed by \textit{H. Rosenberg} [Bull. Sci. Math., II. Sér. 117, No. 2, 211--239 (1993; Zbl 0787.53046)].
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