Definition:Conformal Transformation

Definition

Let $T$ be a transformation of the plane.

Let $T$ have the property that:

for all pairs of curves $\CC_1$ and $\CC_2$ which intersect at angle $\theta$, the images of $\CC_1$ and $\CC_2$ under $T$ also intersect at angle $\theta$.

Then $T$ is defined as being a conformal transformation.

Also known as

A conformal transformation is also known as:

a conformal mapping

an equiangular transformation

an angle-preserving transformation

an isogonal transformation.

Also see

• Results about conformal transformations can be found here.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): conformal transformation
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): conformal transformation