On the axiom of spheres in Kahler geometry

Ognian Kassabov

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arXiv · 1004.4058

On the axiom of spheres in Kahler geometry

Ognian Kassabov

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Abstract

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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Ognian Kassabov. 2010-04-23. On the axiom of spheres in Kahler geometry. https://arxiv.org/abs/1004.4058

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