47 citations · 85 across the 9 of their papers we have counts for
5 papers · 1 filter
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…
Legendrian ribbons in overtwisted contact structures
S. Baader, K. Cieliebak, T. Vogel
We show that a null-homologous transverse knot K in the complement of an overtwisted disk in a contact 3-manifold is the boundary of a Legendrian ribbon if and only if it possesses…
Existence of Engel structures
T. Vogel
We develop a construction of Engel stuctures on 4-manifolds based on decompositions of manifolds into round handles. This allows us to show that all parallelizable 4-manifolds admi…
Linking numbers of measured foliations
D. Kotschick, T. Vogel
We generalise the average asymptotic linking number of a pair of divergence-free vector fields on homology three-spheres by considering the linking of a divergence-free vector fiel…