Explicit constructions of closed even-dimensional manifolds with positive mixed sectional curvature on 1D totally geodesic circle foliations provide counterexamples to Toponogov's question by violating the predicted Ferus-Adams leaf dimension bound.
Rovenskii, Foliations, submanifolds, and mixed curvature, Geometry
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Closed counterexamples to Toponogov's question on mixed curvature
Explicit constructions of closed even-dimensional manifolds with positive mixed sectional curvature on 1D totally geodesic circle foliations provide counterexamples to Toponogov's question by violating the predicted Ferus-Adams leaf dimension bound.