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 |
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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: | 13. Aug 2024, 12:42 |