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

# Geodesic Mapping

## See also

Beltrami's Theorem, Geodesic## Explore with Wolfram|Alpha

## References

Ambartzumian, R. V.*Combinatorial Integral Geometry.*Chichester, England: Wiley, 1982.Kreyszig, E.

*Differential Geometry.*New York: Dover, 1991.

## Referenced on Wolfram|Alpha

Geodesic Mapping## Cite this as:

Weisstein, Eric W. "Geodesic Mapping."
From *MathWorld*--A Wolfram Web Resource. https://mathworld.wolfram.com/GeodesicMapping.html