A Frobenius Theorem for Corank-1 continuous distributions in dimension 2 and 3
File(s)
Working paper
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.
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 Issued
2016-07-01
Date Acceptance
2016-06-01
Citation
International Journal of Mathematics
ISSN
0129-167X
Publisher
World Scientific Publishing
Journal / Book Title
International Journal of Mathematics
Copyright Statement
© 2015 The Authors
Identifier
http://arxiv.org/abs/1411.5896v4
Subjects
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
Publication Status
Accepted