The Engel-Lutz twist and overtwisted Engel structures

del Pino, Alvaro and Vogel, Thomas (2020): The Engel-Lutz twist and overtwisted Engel structures. In: Geometry & Topology, Vol. 24, No. 5: pp. 2471-2546

Abstract

We introduce a modification procedure for Engel structures that is reminiscent of the Lutz twist in 3-dimensional contact topology. This notion allows us to define what an Engel overtwisted disc is, and to prove a complete h-principle for overtwisted Engel structures with fixed overtwisted disc.

• Item Type: Journal article
• Faculties: Mathematics, Computer Science and Statistics > Mathematics
• Subjects: 500 Science > 510 Mathematics
• ISSN: 1465-3060
• Language: English