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Post Closed as "Needs details or clarity" by Moishe Kohan, Loïc Teyssier, Friedrich Knop, Neil Strickland, Piotr Hajlasz
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Loïc Teyssier
Loïc Teyssier
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improved phrasing and standardised notations
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edit approved Dec 7, 2022 at 10:50
Sampah
edit approved Dec 7, 2022 at 10:50
Sampah
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holomorphic Holomorphic function on C^n$\mathbb C^n$

I take $F$ from $\Omega\subset C^n$$\Omega\subset \mathbb C^n$ to $C^n$$\mathbb C^n$ to be a holomrphicholomorphic function such that $$| \det(J_F)|\leq 1,$$ where $J_F$ is the Jacobian matrix of $F$. 

My question is: Is there any classification for these type of functionfunctions of this type?

holomorphic function on C^n

I take $F$ from $\Omega\subset C^n$ to $C^n$ a holomrphic function such that $$| \det(J_F)|\leq 1,$$ where $J_F$ is Jacobian matrix of $F$. My question is there any classification for these type of function?

Holomorphic function on $\mathbb C^n$

I take $F$ from $\Omega\subset \mathbb C^n$ to $\mathbb C^n$ to be a holomorphic function such that $$| \det(J_F)|\leq 1,$$ where $J_F$ is the Jacobian matrix of $F$. 

My question: Is there any classification of functions of this type?

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Said Kamam
Said Kamam
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holomorphic function on C^n

I take $F$ from $\Omega\subset C^n$ to $C^n$ a holomrphic function such that $$| \det(J_F)|\leq 1,$$ where $J_F$ is Jacobian matrix of $F$. My question is there any classification for these type of function?