MathDBCalabi–Chen global existence conjecture for Calabi flow
Calabi–Chen global existence conjecture for Calabi flow
Let be a compact Kähler manifold and let a smooth Kähler potential be given as initial data for the Calabi flow.
Calabi–Chen conjecture. Initiating from any smooth Kähler potential, the Calabi flow always exists globally.
This is posed as the fundamental remaining question after results giving extension under scalar-curvature bounds. The source does not state that it has been resolved.
Sources & referencesView supporting material
Primary source
Xiuxiong Chen and Jingrui Cheng, “On the constant scalar curvature Kähler metrics, existence results”, arXiv:1801.00656 (2018).
Additional references
2 papers in this index state this conjecture (2012–2018). The statement above is taken from the most recent of them; the others are arXiv:1208.2718.
Progress summary
Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.
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