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arxiv: 1009.2677 · v1 · pith:TD4W6N5Pnew · submitted 2010-09-14 · 🧮 math.DG

Schur's theorem of antiholomorphic type for quasi-K\"ahlerian manifolds

classification 🧮 math.DG
keywords curvatureantiholomorphicquasi-kscalarahlerahlerianconstantconstants
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It is proved, that if a quasi-K\"ahler manifold $M$ of dimension greater or equal to 6 is of pointwise constant antiholomorphic sectional curvature $\nu$, then $\nu$, the scalar curvature and the $*$-scalar curvature of $M$ are constants.

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