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Conjugate-cut loci and injectivity domains on two-spheres of revolution. (English) Zbl 1267.53042

The paper contains results on the conjugate and cut-loci on the two-sphere as well as some convexity properties. Computational aspects are also discussed.

MSC:

53C22 Geodesics in global differential geometry
49K15 Optimality conditions for problems involving ordinary differential equations
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