If the L2 kernel of the Lichnerowicz Laplacian has dimension at most 3, then a complete 4D Ricci-flat ALE orbifold with Z2 at infinity is either the Eguchi-Hanson space or the flat orbifold R4/Z2.
Brendle,Rotational symmetry of self-similar solutions to the Ricci flow, Invent
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Establishes symmetry principles and uniqueness characterizations for steady and expanding gradient Ricci solitons with specified asymptotic links.
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An analytical characterization of Eguchi-Hanson space and its higher-dimensional analogs
If the L2 kernel of the Lichnerowicz Laplacian has dimension at most 3, then a complete 4D Ricci-flat ALE orbifold with Z2 at infinity is either the Eguchi-Hanson space or the flat orbifold R4/Z2.
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On steady and expanding Ricci solitons with asymptotic symmetries
Establishes symmetry principles and uniqueness characterizations for steady and expanding gradient Ricci solitons with specified asymptotic links.