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Difference between revisions of "Anti-motion"

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A transformation of a pseudo-Euclidean space which converts points at a real distance <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/a/a012/a012650/a0126501.png" /> from each other into points at a purely-imaginary distance <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/a/a012/a012650/a0126502.png" />. The motions and anti-motions of a pseudo-Euclidean space together form a group.
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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.

Latest revision as of 21:44, 16 December 2016

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=11841
This article was adapted from an original article by A.B. Ivanov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article