Symplectic geometry and the uniqueness of Grauert tubes
| dc.creator | Burns, D. | |
| dc.creator | Hind, R. | |
| dc.date | 2000-10-30 | |
| dc.date.accessioned | 2026-07-07T04:38:20Z | |
| dc.date.available | 2026-07-07T04:38:20Z | |
| dc.description | A compact real analytic Riemannian manifold M admits a canonical complexification with plurisubharmonic exhaustion function satisfying the homogeneous complex Monge-Ampere equation, called a Grauert tube. From the point of view of complex analysis, several authors have considered whether a given complex manifold can arise in more than one way from this construction. We show that given a compact M and a finite exhaustion, the underlying Riemannian structure is unique. The proof uses the technique of holomorphic disks spanning two exact Lagrangian submanifolds of the cotangent bundle of M, and Schwarz reflection. | |
| dc.description | LaTeX2e file, 13 pages | |
| dc.identifier | https://arxiv.org/abs/math/0010299 | |
| dc.identifier | http://arxiv.org/abs/math/0010299 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/60241 | |
| dc.subject | Complex Variables | |
| dc.subject | Differential Geometry | |
| dc.subject | Symplectic Geometry | |
| dc.subject | 32Q65, 53D12 (Primary) 32Q28 (Secondary) | |
| dc.title | Symplectic geometry and the uniqueness of Grauert tubes | |
| dc.type | text |