A Frobenius Theorem for Corank-1 Continuous Distributions in Dimension 2 and 3

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Title: A Frobenius Theorem for Corank-1 Continuous Distributions in Dimension 2 and 3
Authors: Tureli, S
Luzzatto, S
War, KM
Item Type: Journal Article
Abstract: We formulate a notion of (uniform) asymptotic involutivity and show that it implies (unique) integrability of two-dimensional continuous distributions in dimension three. This generalizes a classi- cal theorem of Frobenius Theorem which says that an involutive C1 distribution is uniquely integrable.
Date of Acceptance: 1-Jun-2016
URI: http://hdl.handle.net/10044/1/33664
ISSN: 0129-167X
Publisher: World Scientific Publishing
Journal / Book Title: International Journal of Mathematics
Copyright Statement: © 2016 World Scientific Publishing. This paper is embargoed until publication. Once published will be subject to a 12 months embargo period.
Keywords: General Mathematics
0101 Pure Mathematics
Appears in Collections:Mathematics
Applied Mathematics and Mathematical Physics
Faculty of Natural Sciences



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