Global rigidity of holomorphic Riemannian metrics on compact complex 3-manifolds
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🧮 math.DG
math.CV
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holomorphicriemanniancompactcomplexmanifoldsmetricsadmitsadmitting
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We study compact complex 3-manifolds admitting holomorphic Riemannian metrics. We prove a uniformization result: up to a finite unramified cover, such a manifold admits a holomorphic Riemannian metric of constant sectionnal curvature.
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