Embeddings of compact Sasakian manifolds
| dc.creator | Ornea, Liviu | |
| dc.creator | Verbitsky, Misha | |
| dc.date | 2006-09-21 | |
| dc.date | 2007-04-07 | |
| dc.date.accessioned | 2026-07-07T08:38:30Z | |
| dc.date.available | 2026-07-07T08:38:30Z | |
| dc.description | Let M be a compact Sasakian manifold. We show that M admits a CR-embedding into a Sasakian manifold diffeomorphic to a sphere, and this embedding is compatible with the respective Reeb fields. We argue that a stronger embedding theorem cannot be obtained. We use an extension theorem for Kaehler geometry: given a compact Kaehler manifolds $X\subset Y$, and a Kaehler form $ω$ on $X$ which lies in a Kaehler class of $Y$ restricted to $X$, $ω$ can be extended to a Kaehler form on $Y$. | |
| dc.description | 11 pages, minor corrections made, orbifolds explained | |
| dc.identifier | https://arxiv.org/abs/math/0609617 | |
| dc.identifier | http://arxiv.org/abs/math/0609617 | |
| dc.identifier | Math. Res. Lett. 14 (2007), no. 4, 703--710. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/140754 | |
| dc.subject | Differential Geometry | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Complex Variables | |
| dc.subject | 53C55; 53C25 | |
| dc.title | Embeddings of compact Sasakian manifolds | |
| dc.type | text |