Volume Growth and Curvature Decay of Complete Positively Curved Kähler Manifolds
نویسنده
چکیده
This paper constructs a class of complete Kähler metrics of positive holomorphic sectional curvature on C and finds that the constructed metrics satisfy the following properties: As the geodesic distance ρ → ∞, the volume of geodesic balls grows like O(ρ 2(β+1)n β+2 ) and the Riemannian scalar curvature decays like O(ρ − 2(β+1) β+2 ), where β ≥ 0.
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Volume Growth and Curvature Decay of Positively Curved Kähler Manifolds
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