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On CR-submanifolds of the six-dimensional sphere. (English) Zbl 0828.53049
The author proves that the nearly Kählerian 6-sphere $$S^6$$ admits no compact proper CR-submanifold with non-negative sectional curvature and integrable holomorphic distribution.
##### MSC:
 53C40 Global submanifolds 53C55 Global differential geometry of Hermitian and Kählerian manifolds
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