On the axiom of spheres in Kahler geometry
classification
🧮 math.DG
keywords
axiomholomorphickahlern-spheresantiholomorphicassumptionsconstantcurvature
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It is known, that if a 2m-dimensional Kahler manifold satisfies the axiom of holomorphic 2n-spheres (1<n<m) or the axiom of antiholomorphic n-spheres (2<n), it is of constant holomorphic sectional curvature. In this paper the same result is obtained under weaker assumptions.
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