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Macroscopic scalar curvature and codimension 2 width

    https://doi.org/10.1142/S1793525323500024Cited by:0 (Source: Crossref)

    We show that a complete 3-dimensional Riemannian manifold M with finitely generated first homology has macroscopic dimension 1 if it satisfies the following “macroscopic curvature” assumptions: every ball of radius 10 in M has volume at most 4, and every loop in every ball of radius 1 in M is null-homologous in the concentric ball of radius 2.

    AMSC: 53C23, 53C20