The integral of scalar curvature over B1(p) in the regular part M of an Alexandrov space X is bounded by C(n, η).
Fujioka, A lower bound for the curvature integral under an upper curvature boundarxiv: 2306.1157
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Bounding Curvature Measure on Manifolds with Singularities
The integral of scalar curvature over B1(p) in the regular part M of an Alexandrov space X is bounded by C(n, η).