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## Probability distributions and differential forms [closed]

On a differentiable manifold what is the exact relationship between probability distributions and differential (volume) forms that integrate to 1?

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if $dV$ is the volume form, $U$ is an open set of the manifold, the probability of randomly choosing a point in $U$ is $\int_U dV$ – Spice the Bird Jun 4 2012 at 19:51
Not a serious question, voting to close. – Igor Rivin Jun 4 2012 at 19:55