# Anti-motion

From Encyclopedia of Mathematics

A transformation of a pseudo-Euclidean space which converts points at a real distance $a$ from each other into points at a purely-imaginary distance $a$. The motions and anti-motions of a pseudo-Euclidean space together form a group.

**How to Cite This Entry:**

Anti-motion.

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Anti-motion&oldid=40023

This article was adapted from an original article by A.B. Ivanov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article