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Applications of quasigeodesics and gradient curves. (English) Zbl 0892.53026
Grove, Karsten (ed.) et al., Comparison geometry. Cambridge: Cambridge University. Math. Sci. Res. Inst. Publ. 30, 203-219 (1997).
Author’s abstract: “This paper gathers together some applications of quasigeodesic and gradient curves. After a discussion of extremal subsets, we give a proof of the Gluing Theorem for multidimensional Alexandrov spaces, and a proof of the Radius Sphere Theorem”.
For the entire collection see [Zbl 0871.00023].

MSC:
53C45 Global surface theory (convex surfaces à la A. D. Aleksandrov)
53C23 Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces
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