A map 
from 
to 
is area-preserving if
 |
for every subregion 
of 
,
where 
is the 
-dimensional
measure of 
. A linear transformation is area-preserving
if its corresponding determinant has absolute value
1.
Area-Preserving Map
See also
Conformal Mapping, Special Affine Transformation, Symplectic MapExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Area-Preserving Map." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Area-PreservingMap.html