There is a unique real tight contact 3-ball
Geometric Topology
2018-07-17 v1 Symplectic Geometry
Abstract
We prove that there is a unique real tight contact structure on the 3-ball with convex boundary up to isotopy through real tight contact structures. We also give a partial classification of the real tight solid tori with the real structure being antipodal map along longitudinal and the identity along meridional direction. For the proofs, we use the real versions of contact neighborhood theorems and the invariant convex surface theory in real contact manifolds.
Keywords
Cite
@article{arxiv.0912.5231,
title = {There is a unique real tight contact 3-ball},
author = {Ferit Ozturk and Nermin Salepci},
journal= {arXiv preprint arXiv:0912.5231},
year = {2018}
}
Comments
17 pages; 6 figures, some in color