A locally length-minimising (or critical-length) curve γ on a Riemannian manifold, satisfying the geodesic equation ∇_{γ'} γ' = 0. Generalises 'straight line' to curved spaces.
A locally length-minimising (or critical-length) curve γ on a Riemannian manifold, satisfying the geodesic equation ∇_{γ'} γ' = 0. Generalises 'straight line' to curved spaces.