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Donghoon Jang, Circle actions on oriented manifolds with discrete fixed point sets, classification in dimension 4, J · 2018

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Mass Lower Bounds for Asymptotically Locally Flat Manifolds

math.DG · 2025-09-03 · conditional · novelty 7.0

For ALF 4-manifolds with an almost free circle symmetry and nonnegative scalar curvature, mass is nonnegative and at least (ℓ/16) times the degree of the asymptotic circle bundle; in the AF case, homology-trivial coordinate spheres force nonnegative mass and R^(n−1)×S^1 rigidity.

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  • Mass Lower Bounds for Asymptotically Locally Flat Manifolds math.DG · 2025-09-03 · conditional · none · ref 29

    For ALF 4-manifolds with an almost free circle symmetry and nonnegative scalar curvature, mass is nonnegative and at least (ℓ/16) times the degree of the asymptotic circle bundle; in the AF case, homology-trivial coordinate spheres force nonnegative mass and R^(n−1)×S^1 rigidity.