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arXiv · 1508.07908

Gravitational instantons with faster than quadratic curvature decay (II)

Gao Chen·Xiuxiong Chen
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Abstract

This is our second paper in a series to study gravitational instantons, i.e. complete hyperk\"aler 4-manifolds with faster than quadratic curvature decay. We prove two main theorems: 1.The asymptotic rate of gravitational instantons to the standard models can be improved automatically. 2.Any ALF-D_k gravitational instanton must be the Cherkis-Hitchin-Ivanov-Kapustin-Lindstr\"om-Ro\v{c}ek metric.

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BibTeXRIS

Gao Chen, Xiuxiong Chen. 2015-08-31. Gravitational instantons with faster than quadratic curvature decay (II). https://doi.org/10.1515/crelle-2017-0026

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