A convexity study in sphere

Convex subsets, convex bodies and foot points in the unit n-sphere Sn are defined. Some geometric properties of convex bodies and foot points in Sn -as a manifold with focal points- are derived in comparison with the corresponding properties of convex bodies in both Euclide- an space E1' and a Riemanninan manifold W without focal points.

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  • Communications, Series A1:Mathematics and Statistics