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Start Over Author "LUZZATTO, S." Topic continuous distributions
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1. A Frobenius theorem for corank-1 continuous distributions in dimensions two and three.

Author

Luzzatto, S., Türeli̇, S., and War, K. M.

Subjects
*FROBENIUS algebras, *CONTINUOUS distributions, *MATHEMATICAL formulas, *MATHEMATICAL notation, *ASYMPTOTIC distribution, *INTEGRALS, *PARTIAL differential equations, *ORDINARY differential equations
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 Frobenius theorem, which says that an involutive distribution is uniquely integrable. [ABSTRACT FROM AUTHOR]

Published
2016
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