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math.DG2026
On Chen-Teo geometries with cosmological constant
Bernardo Araneda
The Chen-Teo geometry is a Riemannian, Ricci-flat ALF 4-manifold, containing an AF gravitational instanton that gives the first counterexample to the Euclidean black hole uniquenes…
math.DG2026
On toric self-dual Einstein gravitational instantons
Bernardo Araneda, James Lucietti, Virinchi Rallabhandi
We consider the classification of toric self-dual Einstein gravitational instantons with negative cosmological constant. As is well known, any Killing vector field on a self-dual E…