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On the problem of filling by a Poincaré–Einstein metric in dimension 4

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Poincar\'e-Einstein 4-manifolds with cusps

math.DG · 2026-05-25 · unverdicted · novelty 7.0

Constructs infinite families of Poincaré-Einstein 4-manifolds with cusps on specific bundles, producing new negative Einstein metrics on R^4 and negatively answering Anderson's question on cusp formation.

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  • Poincar\'e-Einstein 4-manifolds with cusps math.DG · 2026-05-25 · unverdicted · none · ref 20

    Constructs infinite families of Poincaré-Einstein 4-manifolds with cusps on specific bundles, producing new negative Einstein metrics on R^4 and negatively answering Anderson's question on cusp formation.