Work

Gromov-Hausdorff instability of the positive mass theorem for Kähler manifolds

Year: 2026
Type: preprint
Abstract: We construct a sequence of AE Kähler metrics on $\mathbb{C}^2$ with nonnegative and integrable scalar curvature whose ADM mass tends to zero but which, for a suitable choice of basepoints, fails to converge to Euclidean space in the pointed Gromov-Hausdorff sense.
Language: English
Open Access status: green
OpenAlex ID: W7214744143
Cites: 9
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Related to: 10