On almost complex curves and Hopf hypersurfaces in the nearly Kähler six-sphere

We study the almost complex curves and Hopf hypersurfaces in the nearly Kähler S 6 (1), and their relations. For Hopf hypersurfaces, we give a classification theorem under some additional conditions. For compact almost complex curves, we obtain some interesting global results with respect to Gaussia...

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Bibliographic Details
Published inScience China. Mathematics Vol. 57; no. 5; pp. 1045 - 1056
Main Authors He, Ling, Jiao, XiaoXiang, Zhou, XianChao
Format Journal Article
LanguageEnglish
Published Heidelberg Science China Press 01.05.2014
Subjects
Applications of Mathematics
China
Classification
Curvature
Gaussian
Mathematical analysis
Mathematics
Mathematics and Statistics
Theorems
53C20
53C42
nearly Kähler structure
almost complex curve
Hopf hypersurface
tubular hypersurface
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Summary:We study the almost complex curves and Hopf hypersurfaces in the nearly Kähler S 6 (1), and their relations. For Hopf hypersurfaces, we give a classification theorem under some additional conditions. For compact almost complex curves, we obtain some interesting global results with respect to Gaussian curvature, area and the genus.
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ISSN:1674-7283
1869-1862
DOI:10.1007/s11425-014-4777-3