A contractible Levi-flat hypersurface in C^2 which is a determining set for pluriharmonic functions
| dc.creator | Forstneric, Franc | |
| dc.date | 2004-06-28 | |
| dc.date | 2005-02-23 | |
| dc.date.accessioned | 2026-07-07T06:33:06Z | |
| dc.date.available | 2026-07-07T06:33:06Z | |
| dc.description | We construct a real analytic Levi-flat hypersurface M in a neighborhood of an ellipsoid B in C^2 such that the each leaf of the Levi foliation of M is a complex disc, M intersects the boundary of B transversely, and the intersection A of M with B has the following properties: (i) the closure of A is diffeomorphic to the ball in R^3 and has a basis of Stein neighborhoods in C^2, (ii) any real analytic function on A which is constant on each Levi leaf is constant, (iii) any pluriharmonic function in a connected open neighborhood of A and vanishing on A is identically zero. | |
| dc.description | Arkiv Math., to appear | |
| dc.identifier | https://arxiv.org/abs/math/0406572 | |
| dc.identifier | http://arxiv.org/abs/math/0406572 | |
| dc.identifier | Arkiv Math., 44 (2006), 87-91 | |
| dc.identifier | doi:10.1007/s11512-005-0007-0 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/99084 | |
| dc.subject | Complex Variables | |
| dc.subject | Primary 32V05, 32V25; secondary 57R30 | |
| dc.title | A contractible Levi-flat hypersurface in C^2 which is a determining set for pluriharmonic functions | |
| dc.type | text |