isometry

About 0.05 uses per million words.

Meaning

1. noun A function between metric spaces (or on a single metric space) having the property that the distance between two images is equal to the distance between their preimages.

   Isometry is to metric spaces what isomorphism is to groups.

Similar words

autometry isometric space isotopy rotation isoperimetry homography quasiisometry isography homothety isomorphism

Often followed by

of group is and that in between groups with

Word family

isometries