Stein fillability and the realization of contact manifolds
| dc.creator | Hill, C. Denson | |
| dc.creator | Nacinovich, Mauro | |
| dc.date | 2007-10-26 | |
| dc.date.accessioned | 2026-07-07T08:39:03Z | |
| dc.date.available | 2026-07-07T08:39:03Z | |
| dc.description | There is an intrinsic notion of what it means for a contact manifold to be the smooth boundary of a Stein manifold. The same concept has another more extrinsic formulation, which is often used as a convenient working hypothesis. We give a simple proof that the two are equivalent. Moreover it is shown that, even though a border always exists, it's germ is not unique; nevertheless the germ of the Dolbeault cohomology of any border is unique. We also point out that any Stein fillable compact contact 3- manifold has a geometric realization in C^4 via an embedding, or in C^3 via an immersion. | |
| dc.identifier | https://arxiv.org/abs/0710.5174 | |
| dc.identifier | http://arxiv.org/abs/0710.5174 | |
| dc.identifier | Proc. AMS 133 (2005), 1843-1850 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/140945 | |
| dc.subject | Complex Variables | |
| dc.subject | Differential Geometry | |
| dc.subject | Symplectic Geometry | |
| dc.subject | 53D10; 32V15; 35N99 | |
| dc.title | Stein fillability and the realization of contact manifolds | |
| dc.type | text |