Involutivity of distributions at points of superdense tangency with respect to normal currents

Fuente: arXiv
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Autor principal: Delladio, Silvano
Formato: Preprint
Publicado: 2024
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author Delladio, Silvano
author_facet Delladio, Silvano
contents Let ${\mathcal D}$ and $T$ be, respectively, a $C^1$ distribution of $k$-planes and a normal $k$-current on ${\mathbf R}^n$. Then ${\mathcal D}$ has to be involutive at almost every superdensity point of the tangency set of $T$ with respect to ${\mathcal D}$.
format Preprint
id arxiv_https___arxiv_org_abs_2407_09028
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Involutivity of distributions at points of superdense tangency with respect to normal currents
Delladio, Silvano
Functional Analysis
58A30, 49Q15, 58A25, 58A15, 31C40, 28Axx
Let ${\mathcal D}$ and $T$ be, respectively, a $C^1$ distribution of $k$-planes and a normal $k$-current on ${\mathbf R}^n$. Then ${\mathcal D}$ has to be involutive at almost every superdensity point of the tangency set of $T$ with respect to ${\mathcal D}$.
title Involutivity of distributions at points of superdense tangency with respect to normal currents
topic Functional Analysis
58A30, 49Q15, 58A25, 58A15, 31C40, 28Axx
url https://arxiv.org/abs/2407.09028