Geodesic convexity
= Geodesic convexity
A subset of a <Riemannian manifold> is geodesically convex when any two of its points can be joined by a minimizing <geodesic segment> lying in the subset. In the <hyperbolic plane> the joining <geodesic segment> is unique. Thus in the <Beltrami-Klein model>, geodesically convex subsets correspond to Euclidean <convex sets>.