For every n≥3, a dimension-dependent constant aₙ>0 bounds the integral of the n/2 power of the negative part of scalar curvature below by aₙ times real simplicial volume, for every closed connected oriented smooth n-manifold and metric.
For every n≥3, a dimension-dependent constant aₙ>0 bounds the integral of the n/2 power of the negative part of scalar curvature below by aₙ times real simplicial volume, for every closed connected oriented smooth n-manifold and metric.
For every n≥3, a dimension-dependent constant aₙ>0 bounds the integral of the n/2 power of the negative part of scalar curvature below by aₙ times real simplicial volume, for every closed connected oriented smooth n-manifold and metric.
If correct, proves the general integral scalar-curvature inequality proposed by Gromov.
Does negative scalar curvature control real simplicial volume through Gromov’s integral bound?
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