A Frobenius Theorem for Continuous Distributions in Dimension Three

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Title: A Frobenius Theorem for Continuous Distributions in Dimension Three
Authors: Luzzatto, S
Tureli, S
War, K
Item Type: Working Paper
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.
Issue Date: 1-Jul-2016
URI: http://hdl.handle.net/10044/1/30802
Copyright Statement: © 2015 The Authors
Keywords: Differential geometry
Analysis of PDEs
Dynamical systems
Notes: 27 pages. Added more general version of result, application to ODE's, PDE's and Dynamical Systems
Appears in Collections:Mathematics
Applied Mathematics and Mathematical Physics
Faculty of Natural Sciences



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