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Theoretical analysis reveals diameter rigidity in Kähler manifolds with positive holomorphic sectional curvature, indicating strong geometric constraints via conformal deformation.
In this paper, we establish some diameter rigidity for Kähler manifolds with positive holomorphic sectional curvature. In comparison with earlier works, our approach is based on constructing extreme CP¹ C P 1 through conformal deformation.
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Chu et al. (2026) studied this question.
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