Topological linking at infinity forces polynomial scalar curvature decay on weakly bounded non-compact manifolds and yields localized obstructions to uniformly positive scalar curvature via minimal hypersurface analysis.
balacheff et al., Mathematische Annalen (2025), 1–29
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Linking at Infinity and Scalar Curvature Decay on Non-Compact Manifolds
Topological linking at infinity forces polynomial scalar curvature decay on weakly bounded non-compact manifolds and yields localized obstructions to uniformly positive scalar curvature via minimal hypersurface analysis.