Subsets of full measure in a generic submanifold in $\C^n$ are non-plurithin

Azimbay Sadullaev, Ahmed Zeriahi

In this paper we prove that if $I$ is a subset of measure 0 in a $C^2-$smooth generic submanifold $M$ of $ \C^n$, then its complement in $M$ is non-plurithin at each point of $M$…