Volume Growth and Curvature Decay of Complete Positively Curved Kähler Manifolds

Simple item page
dc.creatorFu, Xiaoyong
dc.creatorJiang, Zhenglu
dc.date2008-06-09
dc.date.accessioned2026-07-07T09:43:18Z
dc.date.available2026-07-07T09:43:18Z
dc.descriptionThis paper constructs a class of complete Kähler metrics of positive holomorphic sectional curvature on ${\bf C}^n$ and finds that the constructed metrics satisfy the following properties: As the geodesic distance $ρ\to\infty,$ the volume of geodesic balls grows like $O(ρ^{\frac{2(β+1)n}{β+2}})$ and the Riemannian scalar curvature decays like $O(ρ^{-\frac{2(β+1)}{β+2}}),$ where $β\geq 0.$
dc.identifierhttps://arxiv.org/abs/0806.1325
dc.identifierhttp://arxiv.org/abs/0806.1325
dc.identifierChinese Journal of Contemporary Mathematics, Vol 28, No 1, 2007, p69-76
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162506
dc.subjectMetric Geometry
dc.subjectDifferential Geometry
dc.subject53C21
dc.titleVolume Growth and Curvature Decay of Complete Positively Curved Kähler Manifolds
dc.typetext

Files

Collections

arXiv