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ALF gravitational instantons and collapsing Ricci-flat metrics on the \(\mathrm{K3}\) surface

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Publication:2632928
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DOI10.4310/jdg/1557281007zbMath1417.53054arXiv1603.06315OpenAlexW2963714907WikidataQ115165279 ScholiaQ115165279MaRDI QIDQ2632928

Lorenzo Foscolo

Publication date: 15 May 2019

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.06315


zbMATH Keywords

gravitational instantonEguchi-Hanson metricALF spacecollapsing hyper-Kähler metrics


Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26)


Related Items (8)

The collapsing geometry of almost Ricci-flat 4-manifolds ⋮ A blow-up formula for stationary quaternionic maps ⋮ Minimal surfaces and weak gravity ⋮ Period domains for gravitational instantons ⋮ Families of degenerating Poincaré-Einstein metrics on \(\mathbb{R}^4\) ⋮ Gravitational Instantons and Degenerations of Ricci-flat Metrics on the K3 Surface ⋮ Geodesics on a K3 surface near the orbifold limit ⋮ Nilpotent structures and collapsing Ricci-flat metrics on the K3 surface




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