Diameter Rigidity for Kähler manifolds with positive bisectional curvature
Liu, Gang · Yuan, Yuan
Original · EN
Let Mⁿ be a compact Kähler manifold with bisectional curvature bounded from below by 1. If diam(M) = π/ √2 and vol(M)> vol(CPⁿ)/ 2ⁿ, we prove that M is biholomorphically isometric to CPⁿ with the standard Fubini-Study metric.
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