The Engel-Lutz twist and overtwisted Engel structures

del Pino, Alvaro und Vogel, Thomas (2020): The Engel-Lutz twist and overtwisted Engel structures. In: Geometry & Topology, Bd. 24, Nr. 5: S. 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.

• Dokumententyp: Zeitschriftenartikel
• Fakultät: Mathematik, Informatik und Statistik > Mathematik
• Themengebiete: 500 Naturwissenschaften und Mathematik > 510 Mathematik
• ISSN: 1465-3060
• Sprache: Englisch