Global minimality of generic manifolds and holomorphic extendibility of CR functions
| dc.creator | Merker, Joel | |
| dc.date | 2004-11-26 | |
| dc.date.accessioned | 2026-07-07T05:14:43Z | |
| dc.date.available | 2026-07-07T05:14:43Z | |
| dc.description | Let M be a smooth generic submanifold of C^n. Tumanov showed that the direction of CR extendability parallel propagates with respect to a certain differential geometric partial connection in a quotient bundle of the normal bundle to M. M is said to be globally minimal at a point z in M if the CR orbit of z contains a neighborhood of z in M. It is shown that the vector space generated by the directions of CR-extendability of CR functions on M is preserved by the induced composed flow between two points in the same CR orbit. As an application, the main result of this paper, conjectured by J.-M. Trepreau in 1990, is established: for wedge extendability of CR functions to hold at every point in the CR-orbit of z M, it is sufficient that M be globally minimal at z. | |
| dc.description | 13 pages, 0 figure | |
| dc.identifier | https://arxiv.org/abs/math/0411592 | |
| dc.identifier | http://arxiv.org/abs/math/0411592 | |
| dc.identifier | Internat. Math. Res. Notices 1994, no. 8, 329 ff., approx. 14 pp. (electronic) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73385 | |
| dc.subject | Complex Variables | |
| dc.subject | 32C16 (32F25) | |
| dc.title | Global minimality of generic manifolds and holomorphic extendibility of CR functions | |
| dc.type | text |