Pseudoconvex regions of finite D'Angelo type in four dimensional almost complex manifolds
| dc.creator | Bertrand, Florian | |
| dc.date | 2007-10-08 | |
| dc.date.accessioned | 2026-07-07T08:34:48Z | |
| dc.date.available | 2026-07-07T08:34:48Z | |
| dc.description | Let D be a J-pseudoconvex region in a smooth almost complex manifold (M,J) of real dimension four. We construct a local peak J-plurisubharmonic function at every boundary point p of finite D'Angelo type. As applications we give local estimates of the Kobayashi pseudometric, implying the local Kobayashi hyperbolicity of D at p. In case the point p is of D'Angelo type less than or equal to four, or the approach is nontangential, we provide sharp estimates of the Kobayashi pseudometric. | |
| dc.description | 34 pages | |
| dc.identifier | https://arxiv.org/abs/0710.1605 | |
| dc.identifier | http://arxiv.org/abs/0710.1605 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/139562 | |
| dc.subject | Complex Variables | |
| dc.subject | 32Q60, 32T25, 32T40, 32Q45, 32Q65 | |
| dc.title | Pseudoconvex regions of finite D'Angelo type in four dimensional almost complex manifolds | |
| dc.type | text |