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Let ${\mathcal {D}}$
and $T$
be, respectively, a $C^1$
distribution of $k$
-planes and a normal $k$
-current on ${\mathbb {R}}^n$
. Then ${\mathcal {D}}$
has to be involutive at almost every superdensity point of the tangency set of $T$
with respect to ${\mathcal {D}}$
.
