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Post Closed as "Not suitable for this site" by abx, Steven Landsburg, Ben McKay, Ryan Budney, Mark Wildon
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LSpice
LSpice
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If we have a non-constant holomorphic map $ f: \ C ^ p \to X $$ f: \mathbb C ^ p \to X $, where $ X $ is a complex manifold. Let $ \omega $ be a metric on $X$, so $ \omega $ is a positive definite $ (1,1) $  - form positive definiteform.
  Is $ f ^ * (\omega ^ p) $ Is it a measure over $ \ C ^ p $$ \mathbb C ^ p $?

If we have a non-constant holomorphic map $ f: \ C ^ p \to X $, where $ X $ is a complex manifold. Let $ \omega $ be a metric on $X$, $ \omega $ is a $ (1,1) $  - form positive definite.
  $ f ^ * (\omega ^ p) $ Is it a measure over $ \ C ^ p $?

If we have a non-constant holomorphic map $ f: \mathbb C ^ p \to X $, where $ X $ is a complex manifold. Let $ \omega $ be a metric on $X$, so $ \omega $ is a positive definite $ (1,1) $-form. Is $ f ^ * (\omega ^ p) $ a measure over $ \mathbb C ^ p $?

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Kamel
Kamel
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Measure in $\mathbb {C} ^p$

If we have a non-constant holomorphic map $ f: \ C ^ p \to X $, where $ X $ is a complex manifold. Let $ \omega $ be a metric on $X$, $ \omega $ is a $ (1,1) $ - form positive definite.
$ f ^ * (\omega ^ p) $ Is it a measure over $ \ C ^ p $?