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Area-Preserving Map -- from Wolfram MathWorld

A map F from R^n to R^n is area-preserving if m(F^(-1)(A))=m(A) for every subregion A of R^n, where m(A) is the n-dimensional measure of A. A linear transformation is area-preserving if its corresponding determinant has absolute value 1.



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Area-Preserving Map -- from Wolfram MathWorld

https://mathworld.wolfram.com/Area-PreservingMap.html

A map F from R^n to R^n is area-preserving if m(F^(-1)(A))=m(A) for every subregion A of R^n, where m(A) is the n-dimensional measure of A. A linear transformation is area-preserving if its corresponding determinant has absolute value 1.



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https://mathworld.wolfram.com/Area-PreservingMap.html

Area-Preserving Map -- from Wolfram MathWorld

A map F from R^n to R^n is area-preserving if m(F^(-1)(A))=m(A) for every subregion A of R^n, where m(A) is the n-dimensional measure of A. A linear transformation is area-preserving if its corresponding determinant has absolute value 1.

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      Area-Preserving Map -- from Wolfram MathWorld
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      A map F from R^n to R^n is area-preserving if m(F^(-1)(A))=m(A) for every subregion A of R^n, where m(A) is the n-dimensional measure of A. A linear transformation is area-preserving if its corresponding determinant has absolute value 1.
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      A map F from R^n to R^n is area-preserving if m(F^(-1)(A))=m(A) for every subregion A of R^n, where m(A) is the n-dimensional measure of A. A linear transformation is area-preserving if its corresponding determinant has absolute value 1.

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      A map F from R^n to R^n is area-preserving if m(F^(-1)(A))=m(A) for every subregion A of R^n, where m(A) is the n-dimensional measure of A. A linear transformation is area-preserving if its corresponding determinant has absolute value 1.

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      A map F from R^n to R^n is area-preserving if m(F^(-1)(A))=m(A) for every subregion A of R^n, where m(A) is the n-dimensional measure of A. A linear transformation is area-preserving if its corresponding determinant has absolute value 1.
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