
arXiv: 0710.3175
We study pseudoholomorphic discs with boundaries attached to a real hypersurface in an almost complex manifold. We give sufficient conditions for filling a one sided neighborhood of the hypersurface by the discs.
18 pages
Mathematics - Complex Variables, 32H02; 53C15, Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables, Bishop disc, Almost complex manifolds, pseudoholomorphic disc, 53C15, Mathematics - Analysis of PDEs, 32H02, General geometric structures on manifolds (almost complex, almost product structures, etc.), FOS: Mathematics, almost complex manifolds, Complex Variables (math.CV), Analysis of PDEs (math.AP)
Mathematics - Complex Variables, 32H02; 53C15, Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables, Bishop disc, Almost complex manifolds, pseudoholomorphic disc, 53C15, Mathematics - Analysis of PDEs, 32H02, General geometric structures on manifolds (almost complex, almost product structures, etc.), FOS: Mathematics, almost complex manifolds, Complex Variables (math.CV), Analysis of PDEs (math.AP)
| selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | 3 | |
| popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network. | Average | |
| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Average | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Average |
