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arxiv: 1004.4060 · v1 · submitted 2010-04-23 · 🧮 math.DG

The axiom of {θ}-holomorphic 2-planes in the almost Hermitian geometry

classification 🧮 math.DG
keywords thetaaxiomalmosthermitianholomorphicplanesfixedform
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The axiom of {\theta}-holomorphic 2-planes is introduced. It is proved, that if an almost Hermitian manifold satisfies this axiom for a fixed {\theta}, 0< {\theta}< {\pi}/2, then it is a real space form.

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