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**Pia, Nicola (2021): On the dynamics of some vector fields tangent to non-integrable plane fields. In: Journal of Symplectic Geometry, Vol. 19, No. 2: pp. 399-412**

**Full text not available from 'Open Access LMU'.**

## Abstract

Let E-3 subset of TMn be a smooth 3-distribution on a smooth n-manifold, and W subset of E a line field such that [W, E] subset of E. We give a condition for the existence of a plane field D-2 such that W subset of D and [D, D] = E near a closed orbit of W. If W has a non-singular Morse-Smale section, we get a condition for the global existence of D. As a corollary we obtain conditions for a non-singular vector field W on a 3-manifold to be Legendrian, and for an even contact structure E subset of TM4 to be induced by an Engel structure D.

Item Type: | Journal article |
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Faculties: | Mathematics, Computer Science and Statistics > Mathematics |

Subjects: | 500 Science > 510 Mathematics |

ISSN: | 1527-5256 |

Language: | English |

Item ID: | 101130 |

Date Deposited: | 05. Jun 2023, 15:36 |

Last Modified: | 17. Oct 2023, 15:06 |