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20242026
most citedHigh curvature means low-rank: On the sectional curvature of Grassmann and Stiefel manifolds and the underlying matrix trace inequalities

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math.DG2025

Shortest Geodesic Loops, Sectional Curvature, and Injectivity Radius of the Stiefel Manifold

Jakob Stoye, Simon Mataigne, P. -A. Absil +1

We determine the length of the shortest nontrivial geodesic loops on the Stiefel manifold endowed with any member of the one-parameter family of Riemannian metrics introduced by Hü…