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A Frobenius Theorem for Corank-1 Continuous Distributions in Dimension 2 and 3
| File | Description | Size | Format | |
|---|---|---|---|---|
 LuzTurWar3-Frobenius3D.pdf | File embargoed for 12 months after publication date | 371.64 kB | Adobe PDF | Request a copy |
| 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: | Applied Mathematics and Mathematical Physics Faculty of Natural Sciences Mathematics |