Every connected closed smooth Riemannian manifold of positive dimension whose global injectivity radius equals its diameter is, up to scale and isometry, a standard compact rank-one symmetric space.
Every connected closed smooth Riemannian manifold of positive dimension whose global injectivity radius equals its diameter is, up to scale and isometry, a standard compact rank-one symmetric space.
Every connected closed smooth Riemannian manifold of positive dimension whose global injectivity radius equals its diameter is, up to scale and isometry, a standard compact rank-one symmetric space.
If correct, resolves the metric Blaschke conjecture in all dimensions and model types.
Does injectivity radius equal to diameter force a compact rank-one symmetric metric?
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