Almost K\"ahler manifolds of constant antiholomorphic sectional curvature
classification
🧮 math.DG
keywords
constantcurvaturesectionalahlerantiholomorphicmanifoldak2-manifoldalmost
read the original abstract
It is proved that if an AK2-manifold of dimension greater or equal to 6 is of pointwise constant antiholomorphic sectional curvature, then it is a 6-dimensional manifold of constant negative sectional curvature or a K\"ahler manifold of constant holomorphic sectional curvature.
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