47 citations · 85 across the 9 of their papers we have counts for
10 papers
Notes On Open Book Decompositions For Engel Structures
Vincent Colin, Francisco Presas, Thomas Vogel
We relate open book decompositions of a 4-manifold M with its Engel structures. Our main result is, given an open book decomposition of M whose binding is a collection of 2-tori an…
The Engel-Lutz twist and overtwisted Engel structures
Álvaro del Pino, Thomas Vogel
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 ov…
Non-loose unknots, overtwisted discs, and the contact mapping class group of
Thomas Vogel
We classify Legendrian unknots in overtwisted contact structures on . In particular, we show that up to contact isotopy for every pair with there are exac…
Engel structures and weakly hyperbolic flows on four-manifolds
D. Kotschick, T. Vogel
We study pairs of Engel structures on four-manifolds whose intersection has constant rank one and which define the same even contact structure, but induce different orientations on…
Uniqueness of the contact structure approximating a foliation
Thomas Vogel
According to a theorem of Eliashberg and Thurston a -foliation on a closed 3-manifold can be -approximated by contact structures unless all leaves of the foliation are sp…
Rigidity versus flexibility for tight confoliations
T. Vogel
In \cite{confol} Y. Eliashberg and W. Thurston gave a definition of tight confoliations. We give an example of a tight confoliation on violating the Thurston-Bennequin in…