Exotic Holomorphic Engel Structures on

Coelho, R. und Pia, N. (2018): Exotic Holomorphic Engel Structures on. In: Journal of Geometric Analysis, Bd. 28, Nr. 3: S. 2550-2557

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.

• Dokumententyp: Zeitschriftenartikel
• Fakultät: Mathematik, Informatik und Statistik > Mathematik
• Themengebiete: 500 Naturwissenschaften und Mathematik > 510 Mathematik
• ISSN: 1050-6926
• Sprache: Englisch