Estimates of the Kobayashi metric on almost complex manifolds
| dc.creator | Gaussier, H. | |
| dc.creator | Sukhov, A. | |
| dc.date | 2003-07-25 | |
| dc.date | 2004-02-26 | |
| dc.date.accessioned | 2026-07-07T04:59:53Z | |
| dc.date.available | 2026-07-07T04:59:53Z | |
| dc.description | We establish a lower estimate for the Kobayashi-Royden infinitesimal pseudometric on an almost complex manifold $(M,J)$ admitting a bounded strictly plurisubharmonic function. We apply this result to study the boundary behaviour of the metric on a strictly pseudoconvex domain in $M$ and to give a sufficient condition for the complete hyperbolicity of a domain in $(M,J)$. Finally we obtain the regularity up to the bounday of $J$-holomorphic discs attached to a totally real submanifold in $M$. | |
| dc.description | date de redaction: 2003-4-3 | |
| dc.identifier | https://arxiv.org/abs/math/0307334 | |
| dc.identifier | http://arxiv.org/abs/math/0307334 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68169 | |
| dc.subject | Complex Variables | |
| dc.subject | Differential Geometry | |
| dc.subject | 32H02, 32H40, 32T15, 53C15 | |
| dc.title | Estimates of the Kobayashi metric on almost complex manifolds | |
| dc.type | text |