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Difference between revisions of "Conformal transformation"

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A one-to-one [[Conformal mapping|conformal mapping]]. The conformal transformations in the <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/c/c024/c024830/c0248301.png" />-dimensional Euclidean space, <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/c/c024/c024830/c0248302.png" />, form the <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/c/c024/c024830/c0248303.png" />-parameter conformal group.
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A one-to-one [[Conformal mapping|conformal mapping]]. The conformal transformations in the $n$-dimensional Euclidean space, $n>2$, form the $(n+1)(n+2)/2$-parameter conformal group.

Latest revision as of 11:00, 9 November 2014

A one-to-one conformal mapping. The conformal transformations in the $n$-dimensional Euclidean space, $n>2$, form the $(n+1)(n+2)/2$-parameter conformal group.

How to Cite This Entry:
Conformal transformation. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Conformal_transformation&oldid=34398
This article was adapted from an original article by M.I. Voitsekhovskii (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article