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In mathematics—specifically, in differential geometry—a geodesic map (or geodesic mapping or geodesic diffeomorphism) is a function that "preserves geodesics". More precisely, given two (pseudo-)Riemannian manifolds (Mg) and (Nh), a function φ : M → N is said to be a geodesic map if

Examples

References

Ambartzumian, R. V. (1982). Combinatorial integral geometry. Wiley Series in Probability and Mathematical Statistics: Tracts on Probability and Statistics. New York: John Wiley & Sons Inc. pp. xvii+221. ISBN 0-471-27977-3. MR 0679133.
Kreyszig, Erwin (1991). Differential geometry. New York: Dover Publications Inc. pp. xiv+352. ISBN 0-486-66721-9. MR 1118149.

External links
Weisstein, Eric W. "Geodesic mapping". MathWorld.

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