What is a Geodesic on a Riemannian Manifold?

of what a geodesic on a Riemannian manifold is, together with some examples. 1 Topological and Smooth Manifolds The most general definition of a manifold: Definition 1 (Topological Manifold). A topological space M is called a topological n-manifold if: M is Hausdorff (i.e. every pair p,q can be separated by two disjoint open sets) and second ... ................
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