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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