Gravitational instantons with faster than quadratic curvature decay (III)
classification
🧮 math.DG
math-phmath.MP
keywords
gravitationalinstantonscaseclassifyconstructioncurvaturedecayextend
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This is our third paper in a series on the gravitational instantons. In this paper, we classify ALG and ALH gravitational instantons. In ALG case, we extend Hein's construction slightly and show that it's the only ALG gravitational instanton. In ALH case, we prove a Torelli-type theorem.
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