On almost complex curves in the nearly Kaehler six-sphere
نویسندگان
چکیده
منابع مشابه
Hopf hypersurfaces in nearly Kaehler 6-sphere
We obtain a characterization for a compact Hopf hypersurface in the nearly Kaehler sphere S using a pinching on the scalar curvature of the hypersurface. It has been also observed that the totally geodesic sphere S in S has induced Sasakian structure as a hypersurface of the nearly Kaehler sphere S. M.S.C. 2000: 53C20, 53C45.
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In 2003, S.-s. Chern began a study of almost-complex structures on the 6-sphere, with the idea of exploiting the special properties of its wellknown almost-complex structure invariant under the exceptional group G2. While he did not solve the (currently still open) problem of determining whether there exists an integrable almost-complex structure on S, he did prove a significant identity that r...
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ژورنال
عنوان ژورنال: Differential Geometry and its Applications
سال: 2012
ISSN: 0926-2245
DOI: 10.1016/j.difgeo.2012.01.002