A Frobenius Theorem for Corank-1 Continuous Distributions in Dimension 2 and 3
File(s)
Accepted version
Author(s)
Tureli, S
Luzzatto, S
War, KM
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 Acceptance
2016-06-01
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.
Subjects
General Mathematics
0101 Pure Mathematics