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Mathematics > Differential Geometry

arXiv:1803.07761 (math)
[Submitted on 21 Mar 2018 (v1), last revised 26 Mar 2018 (this version, v2)]

Title:The Kähler-Ricci flow on pseudoconvex domains

Authors:Huabin Ge, Aijin Lin, Liangming Shen
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Abstract:We establish the existence of Kähler-Ricci flow on pseudoconvex domains with general initial metric without curvature bounds. Moreover we prove that this flow is simultaneously complete, and its normalized version converge to the complete Kähler-Einstein metric, which generalizes Topping's works on surfaces.
Comments: 17 pages, Theorem 1.3 is strengthened and combined to Theorem 1.2
Subjects: Differential Geometry (math.DG)
MSC classes: 53C44
Cite as: arXiv:1803.07761 [math.DG]
  (or arXiv:1803.07761v2 [math.DG] for this version)
  https://doi.org/10.48550/arXiv.1803.07761

Submission history

From: Liangming Shen [view email]
[v1] Wed, 21 Mar 2018 06:21:06 UTC (14 KB)
[v2] Mon, 26 Mar 2018 07:27:22 UTC (14 KB)
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