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Summary Of: Geodesic
A geodesic triangle on the sphere... A geodesic triangle on the sphere... A geodesic triangle on the sphere... a geodesic was the shortest route between two points on the Earth... one might consider a geodesic between two vertices... along the geodesic is proportional to... between two points on a sphere is a geodesic but not the shortest path between the points... but is not a geodesic because the velocity of the corresponding motion of a point is not constant... a geodesic is a curve which is everywhere... This generalizes the notion of geodesic for Riemannian manifolds... in metric geometry the geodesic considered is often equipped with... the geodesic is called a... In a Riemannian manifold a geodesic is the same as a curve that locally minimizes the length... The geodesic equation can then be obtained as the... by noticing that the geodesic equation is a second... denotes the geodesic with initial data... The geodesic flow defines a family of curves in the... A curve in such a manifold is a geodesic if its tangent vector remains parallel to the curve when it is transported along it... since the geodesic equation depends only on the symmetric part of the connection... Encyclodia Page On: Geodesic
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