Geodesic Mapping

A geodesic mapping f:M->N between two Riemannian manifolds is a diffeomorphism sending geodesics of M into geodesics of N, whose inverse also sends geodesics to geodesics (Ambartzumian 1982, p. 26).

See also

Beltrami's Theorem, Geodesic

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Ambartzumian, R. V. Combinatorial Integral Geometry. Chichester, England: Wiley, 1982.Kreyszig, E. Differential Geometry. New York: Dover, 1991.

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Geodesic Mapping

Cite this as:

Weisstein, Eric W. "Geodesic Mapping." From MathWorld--A Wolfram Web Resource.

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