Homogeneous Solutions of Pluriclosed Flow on Closed Complex Surfaces |
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Authors: | Jess Boling |
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Institution: | 1.University of California,Irvine,USA |
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Abstract: | Streets and Tian introduced a parabolic flow of pluriclosed metrics. We classify the long time behavior of homogeneous solutions of this flow on closed complex surfaces including minimal Hopf, Inoue, Kodaira, and non-Kähler, properly elliptic surfaces. We also construct expanding soliton solutions to the flow on the universal covers of these surfaces by taking blowdown limits of these homogeneous solutions. |
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