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.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.DG 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
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.