A Frobenius Theorem for Corank-1 Continuous Distributions in Dimensions two and three
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 uniquel...
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| Sprache: | eng |
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| Zusammenfassung: | 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. |
|---|---|
| DOI: | 10.48550/arxiv.1411.5896 |