: Mathematics: closed geodesic

mathematical physics > dynamical systems theory > dynamical system > closed geodesic

geometry > differential geometry > Riemannian geometry > geodesic > closed geodesic

closed geodesic

In differential geometry and dynamical systems, a closed geodesic on a Riemannian manifold is a geodesic that returns to its starting point with the same tangent direction. It may be formalized as the projection of a closed orbit of the geodesic flow on the tangent space of the manifold.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Closed_geodesic)

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