Proves sharp focal radius bound r_f ≤ π/4 for hypersurfaces with b_p(Σ) ≠ 0 under p-form curvature conditions, with Clifford rigidity in equality cases.
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Sharp focal radius estimate and rigidity of hypersurfaces in manifolds with positive curvature
Proves sharp focal radius bound r_f ≤ π/4 for hypersurfaces with b_p(Σ) ≠ 0 under p-form curvature conditions, with Clifford rigidity in equality cases.