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Math.322(2023), no

Vishnu Kakkat, Marcus Khuri, Jordan Rainone, Gilbert Weinstein,The geometry, topology of stationary multiaxisymmetric vacuum black holes in higher dimensions, Pacific J · 2023

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A Comparison Theorem For the Mass of ALE and ALF Toric 4-Manifolds

math.DG · 2026-05-12 · unverdicted · novelty 7.0

The mass of toric ALE or ALF 4-manifolds with nonnegative scalar curvature is at least the mass of the corresponding toric gravitational instanton plus a term from its conical defects, with equality only when the manifold is Ricci-flat and identical to that instanton.

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  • A Comparison Theorem For the Mass of ALE and ALF Toric 4-Manifolds math.DG · 2026-05-12 · unverdicted · none · ref 30

    The mass of toric ALE or ALF 4-manifolds with nonnegative scalar curvature is at least the mass of the corresponding toric gravitational instanton plus a term from its conical defects, with equality only when the manifold is Ricci-flat and identical to that instanton.