Volume 24, issue 5 (2020)
Download this article
Download this article For screen
For printing
Recent Issues

Volume 29
Issue 2, 549–1114
Issue 1, 1–548

Volume 28, 9 issues

Volume 27, 9 issues

Volume 26, 8 issues

Volume 25, 7 issues

Volume 24, 7 issues

Volume 23, 7 issues

Volume 22, 7 issues

Volume 21, 6 issues

Volume 20, 6 issues

Volume 19, 6 issues

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 4 issues

Volume 15, 4 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 4 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 3 issues

Volume 7, 2 issues

Volume 6, 2 issues

Volume 5, 2 issues

Volume 4, 1 issue

Volume 3, 1 issue

Volume 2, 1 issue

Volume 1, 1 issue

The Journal
About the Journal
Editorial Board
Editorial Procedure
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN 1364-0380 (online)
ISSN 1465-3060 (print)
Author Index
To Appear
 
Other MSP Journals
The Engel–Lutz twist and overtwisted Engel structures

Álvaro del Pino and Thomas Vogel
Geometry & Topology 24 (2020) 2471–2546
DOI: 10.2140/gt.2020.24.2471
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.

Keywords
Engel structures, overtwisted, h-principle
Mathematical Subject Classification
Primary: 58A30
References
Publication
Received: 4 February 2019
Revised: 16 September 2019
Accepted: 31 December 2019
Published: 29 December 2020
Proposed: Yasha Eliashberg
Seconded: Paul Seidel, András I Stipsicz
Authors
Álvaro del Pino
Department of Mathematics
Utrecht University
Utrecht
Netherlands
Thomas Vogel
Mathematisches Institut der LMU
Universität München
München
Germany