18 citations · 18 across the 2 of their papers we have counts for
3 papers
math.SG2008
Minimal atlases of closed contact manifolds
Yuri Chekanov, Otto van Koert, Felix Schlenk
We study the minimal number C(M,ξ) of contact charts that one needs to cover a closed connected contact manifold (M,ξ). Our basic result is C(M,ξ) \le \dim M + 1. We compute C(M,ξ)…
math.SG2007★ 18 cited
Every contact manifold can be given a non-fillable contact structure
Klaus Niederkrüger, Otto van Koert
Recently Francisco Presas Mata constructed the first examples of closed contact manifolds of dimension larger than 3 that contain a plastikstufe, and hence are non-fillable. Using…
math.DG2000
The natural metric in the Horrocks-Mumford bundle is not Hermitian-Einstein
O. F. B. van Koert, M. Lubke
The Horrocks-Mumford bundle is a famous stable complex vector bundle of rank 2 on 4-dimensional complex projective space. By construction, has a natural Hermitian metric $h…