A note on the uniformization of gradient Kähler-Ricci solitons

dc.creatorChau, Albert
dc.creatorTam, Luen-Fai
dc.date2004-07-27
dc.date2004-08-02
dc.date.accessioned2026-07-07T05:10:42Z
dc.date.available2026-07-07T05:10:42Z
dc.descriptionApplying a well known result for attracting fixed points of biholomorphisms \cite{RR, V}, we observe that one immediately obtains the following result: if $(M^n,g)$ is a complete non-compact gradient Kähler-Ricci soliton which is either steady with positive Ricci curvature so that the scalar curvature attains its maximum at some point, or expanding with non-negative Ricci curvature, then $M$ is biholomorphic to $\ce ^n$.
dc.description3 pages
dc.identifierhttps://arxiv.org/abs/math/0407449
dc.identifierhttp://arxiv.org/abs/math/0407449
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72009
dc.subjectDifferential Geometry
dc.subject58J35; 32Q30
dc.titleA note on the uniformization of gradient Kähler-Ricci solitons
dc.typetext

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