On almost complex curves and Hopf hypersurfaces in the nearly Kähler six-sphere (Q476934)
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scientific article; zbMATH DE number 6376022
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On almost complex curves and Hopf hypersurfaces in the nearly Kähler six-sphere |
scientific article; zbMATH DE number 6376022 |
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On almost complex curves and Hopf hypersurfaces in the nearly Kähler six-sphere (English)
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2 December 2014
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In 1995, \textit{J. Berndt} et al. [Geom. Dedicata 56, No. 3, 237--247 (1995; Zbl 0842.53015)] characterized Hopf hypersurfaces in \(S^6(1)\) as open parts of totally geodesic hypersphere or of tubes around almost complex curves of \(S^6(1)\). In the present paper, the authors characterize the tubes around almost complex curves of different types among all Hopf hypersurfaces. Some properties of almost complex curves and Hopf hypersurfaces in \(S^6(1)\) are also obtained. The paper is well written.
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nearly Kähler structure
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Hopf hypersurface
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tubular hypersurface
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almost complex curve
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