Introduces average signature A(G) of geodesics in compact connected Lie groups and proves recovery of dimension, diameter, volume, and scalar curvature via trace with the bi-invariant metric.
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Average signature of geodesic paths in compact Lie groups
Introduces average signature A(G) of geodesics in compact connected Lie groups and proves recovery of dimension, diameter, volume, and scalar curvature via trace with the bi-invariant metric.