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- W1668468523 abstract "The survey is devoted to Toponogov's conjecture, that {it if a complete simply connected Riemannian manifold with sectional curvature $le 4$ and injectivity radius $ge pi/2$ has extremal diameter $pi/2$, then it is isometric to CROSS}. In Section 1 the relations of problem with geodesic foliations of a round sphere are considered, but the proof of conjecture on this way is not complete. In Section 2 the proof based on recent results and methods for topology and volume of Blaschke manifolds is given." @default.
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- W1668468523 date "1996-09-20" @default.
- W1668468523 modified "2023-09-27" @default.
- W1668468523 title "Great sphere foliations and manifolds with curvature bounded above" @default.
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