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Additional
geodesic
English Wikipedia - The Free Encyclopedia
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Geodesic
In
differential geometry
, a
geodesic
() is a generalization of the notion of a "
straight line
" to "
curved space
s". In the presence of an
affine connection
, a geodesic is defined to be a curve whose
tangent vector
s remain parallel if they are
transported
along it. If this connection is the
Levi-Civita connection
induced by a
Riemannian metric
, then the geodesics are (
locally
) the shortest path between points in the space.
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