Tangent and normal bundles in almost complex geometry
| dc.creator | Kruglikov, B. | |
| dc.date | 2003-04-14 | |
| dc.date | 2005-06-10 | |
| dc.date.accessioned | 2026-07-07T04:56:49Z | |
| dc.date.available | 2026-07-07T04:56:49Z | |
| dc.description | In this paper we define and study pseudoholomorphic vector bundles structures, particular cases of which are tangent and normal bundle almost complex structures. These are intrinsically related to the Gromov D-operator. As an application we deduce normal forms of 1-jets of almost complex structures along a submanifold. In dimension four we relate these normal forms to the problem of pseudoholomorphic foliation of a neighborhood of a curve and the question of non-deformation and persistence of pseudoholomorphic curves. | |
| dc.description | 25 pages; More detailed relations between normal bundles structures are added. Links with other works on the topic - mostly almost complex bundles structures - are developped | |
| dc.identifier | https://arxiv.org/abs/math/0304165 | |
| dc.identifier | http://arxiv.org/abs/math/0304165 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67062 | |
| dc.subject | Complex Variables | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C15, 53C07, 32G05, 53C56 | |
| dc.title | Tangent and normal bundles in almost complex geometry | |
| dc.type | text |