Geometry of gravitational instantons
classification
🧮 math.DG
math-phmath.MP
keywords
gravitationalinstantonsahlerclassificationcompleteconstructioncurvaturedecay
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We survey recent progress in the classification of hyperk\"ahler and Hermitian gravitational instantons (i.e., complete noncompact 4 dimensional Ricci-flat manifolds with quadratic curvature decay), as well as the construction of non-Hermitian gravitational instantons via harmonic maps. We also present a list of open questions related to gravitational instantons.
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