Prime geodesic

A prime geodesic is a concept from the field of differential geometry and Riemannian geometry, specifically related to the study of geodesics on manifolds. In simple terms, a geodesic is the shortest path between two points on a curved surface or manifold, analogous to a straight line in Euclidean space. In more detail, prime geodesics refer to geodesics that cannot be decomposed into shorter geodesics.