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A Frobenius Theorem for Corank-1 Continuous Distributions in Dimensions two and three
Published 21 Nov 2014 in math.DG, math.AP, and math.DS | (1411.5896v5)
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 C1 distribution is uniquely integrable.
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