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A note on the collapsing geometry of hyperkähler four manifolds

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We make some observations concerning the one-dimensional collapsing geometry of four-dimensional hyperkähler metrics.

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Acknowledgements

The first author was supported by the Grantin-Aid for Young Scientists (B) (Grant No. 16K17585) and Grant-in-Aid for Scientific Research (B) (Grant No. 18H01118). The second author was supported by National Science Foundation of USA (Grant No. DMS-1916520) and the Simons Collaboration Grant on Special Holonomy in Geometry, Analysis and Physics (Grant No. 488633, S.S.). The third author was supported by National Science Foundation of USA (Grant No. DMS-1906265).

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Correspondence to Song Sun.

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Dedicated to Professor Lo Yang on the Occasion of His 80th Birthday

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Honda, S., Sun, S. & Zhang, R. A note on the collapsing geometry of hyperkähler four manifolds. Sci. China Math. 62, 2195–2210 (2019). https://doi.org/10.1007/s11425-019-1602-x

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