Bando–Kasue–Nakajima conjecture for ALE gravitational instantons

Let (M,g)(M,g) be an ALE gravitational instanton. Bando–Kasue–Nakajima conjecture. The gravitational instanton (M,g)(M,g) is of Type I, up to orientation reversal. Partial results are known, but the source presents the general assertion as open.

Sources & referencesView supporting material

Primary source

Mingyang Li and Song Sun, “Geometry of gravitational instantons”, arXiv:2606.10443 (2026).

Additional references

2 papers in this index state this conjecture (2024–2026). The statement above is taken from the most recent of them; the others are arXiv:2410.11168.

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