Diameter Rigidity for Kähler manifolds with positive bisectional curvature

2017/02/23 by Liu, Gang, Yuan, Yuan · 1 citation
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1702.07411

Abstract

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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