Problem 24.4.22`58C2B4B7107E`

Problem 24.4.22.58C2B4B7107E Suppose that a compact complex manifold carries a balanced metric and a pluriclosed metric. Use the two metrics to construct closed positive data, such as a closed Kähler current, or to control a geometric flow that can change the torsion. Determine which estimate, beyond the finite balanced trace, prevents degeneration of the metrics. Can determinant estimates for Gauduchon currents contribute to that estimate?

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@misc{pome-tag-58C2B4B7107E,
  author = {{Pome contributors}},
  title = {Problem 24.4.22},
  howpublished = {Pome},
  url = {https://mingchenxia.github.io/Pome/tag/58C2B4B7107E/}
}

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Problem 24.4.2258C2B4B7107E

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Problem 24.4.22`58C2B4B7107E`