**
**

**Coelho, R. and Pia, N. (2018): Exotic Holomorphic Engel Structures on. In: Journal of Geometric Analysis, Vol. 28, No. 3: pp. 2550-2557**

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

## Abstract

A holomorphic Engel structure determines a flag of distributions . We construct examples of Engel structures on such that each of these distributions is hyperbolic in the sense that it has no tangent copies of . We also construct two infinite families of pairwise non-isomorphic Engel structures on by controlling the curves tangent to . The first is characterised by the topology of the set of points in admitting -lines and the second by a finer geometric property of this set. A consequence of the second construction is the existence of uncountably many non-isomorphic holomorphic Engel structures on C-4.

Item Type: | Journal article |
---|---|

Faculties: | Mathematics, Computer Science and Statistics > Mathematics |

Subjects: | 500 Science > 510 Mathematics |

ISSN: | 1050-6926 |

Language: | English |

Item ID: | 66383 |

Date Deposited: | 19. Jul 2019, 12:19 |

Last Modified: | 04. Nov 2020, 13:47 |