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Pluriclosed flow on manifolds with globally generated bundles. (English) Zbl 1351.32034
Summary: We show global existence and convergence results for the pluriclosed flow on manifolds for which certain naturally associated tensor bundles are globally generated.

32Q15 Kähler manifolds
32J27 Compact Kähler manifolds: generalizations, classification
53C55 Global differential geometry of Hermitian and Kählerian manifolds
Full Text: DOI arXiv
[1] [1] D. Akhiezer, Lie groups actions in complex analysis, Aspects of Mathematics, Vol. E 27. · Zbl 0845.22001
[2] R.L. Bryant, Rigidity and quasi-rigidity of extremal cycles in Hermitian symmetric spaces, Princeton University Press, 2010.
[3] Gualtieri, M. Generalized complex geometry, Ann. of Math. Vol. 174 (2011), 75-123. · Zbl 1235.32020
[4] J. Streets, Pluriclosed flow Born-Infeld geometry, and rigidity results for generalized Kähler manifolds, arXiv:1502.02584, to appear Comm. PDE. · Zbl 1347.53055
[5] J. Streets, Pluriclosed flow on generalized Kähler manifolds with split tangent bundle, arXiv:1405.0727, to appear Crelle’s Journal. · Zbl 1393.53066
[6] J. Streets, G. Tian, Hermitian curvature flow, JEMS Vol. 13, no. 3 (2011), 601-634. · Zbl 1214.53055
[7] J. Streets, G. Tian, A parabolic flow of pluriclosed metrics, Int. Math. Res. Notices (2010), Vol. 2010, 3101-3133. · Zbl 1198.53077
[8] J. Streets, G. Tian, Regularity results for the pluriclosed flow, Geom. & Top. 17 (2013) 2389-2429. · Zbl 1272.32022
[9] J. Streets, G. Tian, Generalized Kähler geometry and the pluriclosed flow, Nuc. Phys. B, Vol. 858, Issue 2, (2012) 366-376.
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