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arXiv · 1411.5896

A Frobenius Theorem for Corank-1 Continuous Distributions in Dimensions two and three

Stefano Luzzatto·Sina Tureli·Khadim War
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Abstract

We formulate a notion of (uniform) asymptotic involutivity and show that it implies (unique) integrability of corank-1 continuous distributions in dimensions three or less. This generalizes and extends a classical theorem of Frobenius Theorem which says that an involutive C^1 distribution is uniquely integrable.

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BibTeXRIS

Stefano Luzzatto, Sina Tureli, Khadim War. 2014-11-21. A Frobenius Theorem for Corank-1 Continuous Distributions in Dimensions two and three. https://arxiv.org/abs/1411.5896

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