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Average signature of geodesic paths in compact Lie groups

math.DG · 2024-11-11 · unverdicted · novelty 6.0

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 math.DG · 2024-11-11 · unverdicted · none · ref 6

    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.