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1 results

Involutivity of distributions at points of superdense tangency with respect to normal currents
Part of
Silvano Delladio
Journal:

Proceedings of the Royal Society of Edinburgh. Section A: Mathematics / Volume 154 / Issue 2 / April 2024

Published online by Cambridge University Press:

24 March 2023, pp. 508-524

Print publication:

April 2024
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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 ${\mathcal {D}}$.