MathDBChen's conjecture on global existence of the Calabi flow
Chen's conjecture on global existence of the Calabi flow
Let be a compact Kähler manifold and let be an initial Kähler metric. The Calabi flow is the evolution of Kähler metrics starting at by the negative gradient flow of the Calabi energy.
Chen's conjecture. The Calabi flow exists for all time.
This is one of the principal conjectures on the long-term behavior of the Calabi flow; the source does not state a resolution.
Sources & referencesView supporting material
Primary source
Hongnian Huang, “Calabi flow on projective bundles, I”, arXiv:1511.06290 (2015).
Additional references
2 papers in this index state this conjecture (2012–2015). The statement above is taken from the most recent of them; the others are arXiv:1207.5964.
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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