A survey on the Kähler-Ricci flow and Yau's uniformization conjecture

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dc.creatorChau, Albert
dc.creatorTam, Luen-Fai
dc.date2007-02-09
dc.date2007-08-22
dc.date.accessioned2026-07-07T08:24:50Z
dc.date.available2026-07-07T08:24:50Z
dc.descriptionYau's uniformization conjecture states: a complete noncompact Kähler manifold with positive holomorphic bisectional curvature is biholomorphic to $\ce^n$. The Kähler-Ricci flow has provided a powerful tool in understanding the conjecture, and has been used to verify the conjecture in several important cases. In this article we present a survey of the Kähler-Ricci flow with focus on its application to uniformization. Other interesting methods and results related to the study of Yau's conjecture are also discussed.
dc.descriptionTheorem 4.4 has been improved. Theorem 6.6 has been added
dc.identifierhttps://arxiv.org/abs/math/0702257
dc.identifierhttp://arxiv.org/abs/math/0702257
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/136476
dc.subjectDifferential Geometry
dc.subjectAnalysis of PDEs
dc.subject53C55, 35K90
dc.titleA survey on the Kähler-Ricci flow and Yau's uniformization conjecture
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