Geodesic map
id:
geodesic-map-267-502878
title:
Geodesic map
text:
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 (M, g) and (N, h), a function φ : M → N is said to be a geodesic map if φ is a diffeomorphism of M onto N; and
the image under φ of any geodesic arc in M is a geodesic arc in N; and
the image under the inverse function φ−1 of any geodesic arc in N is a geodesic arc in M.
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Geodesic_map
date created:
date modified:
2022-10-23T01:52:28Z
main entity:
{"identifier":"Q17100560","url":"https://www.wikidata.org/entity/Q17100560"}
image:
fields total:
13
integrity:
13