On Complete Noncompact Kähler Manifolds with Positive Bisectional Curvature

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dc.creatorChen, Bing-Long
dc.creatorZhu, Xi-Ping
dc.date2002-11-24
dc.date.accessioned2026-07-07T04:53:14Z
dc.date.available2026-07-07T04:53:14Z
dc.descriptionWe prove that a complete noncompact Kähler manifold $M^{n}$of positive bisectional curvature satisfying suitable growth conditions is biholomorphic to a pseudoconvex domain of {\bf C}$^{n}$ and we show that the manifold is topologically {\bf R}$^{2n}$. In particular, when $M^{n}$ is a Kähler surface of positive bisectional curvature satisfying certain natural geometric growth conditions, it is biholomorphic to {\bf C}$^{2}$.
dc.description31 pages. To appear in Math. Ann
dc.identifierhttps://arxiv.org/abs/math/0211370
dc.identifierhttp://arxiv.org/abs/math/0211370
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65765
dc.subjectDifferential Geometry
dc.titleOn Complete Noncompact Kähler Manifolds with Positive Bisectional Curvature
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