Coelho, R.; Pia, N.
(2018):
Exotic Holomorphic Engel Structures on.
In: Journal of Geometric Analysis, Vol. 28, No. 3: pp. 25502557

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 nonisomorphic 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 nonisomorphic holomorphic Engel structures on C4.