MathDBChen's global existence conjecture for the twisted Calabi flow
Chen's global existence conjecture for the twisted Calabi flow
Let be a smooth initial Kähler potential, and let the twisted Calabi flow be the evolution equation introduced in the paper for the corresponding Kähler metrics and twisting form. Chen's global existence conjecture. The twisted Calabi flow exists globally for any smooth initial Kähler potential. The source presents this as an analogue of the global-existence conjecture for the ordinary Calabi flow; only special low-dimensional results are mentioned.
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Sources & referencesView supporting material
Primary source
Xiuxiong Chen, “On the existence of constant scalar curvature Kähler metric: a new perspective”, arXiv:1506.06423 (2015).
Additional references
3 papers in this index state this conjecture (2009–2015). The statement above is taken from the most recent of them; the others are arXiv:1004.2663, arXiv:0904.0978.
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