On totally real spheres in complex space
| dc.creator | Gong, Xianghong | |
| dc.date | 1996-04-24 | |
| dc.date.accessioned | 2026-07-07T09:15:28Z | |
| dc.date.available | 2026-07-07T09:15:28Z | |
| dc.description | We shall prove that there are totally real and real analytic embeddings of $S^k$ in $\cc^n$ which are not biholomorphically equivalent if $k\geq 5$ and $n=k+2[\frac{k-1}{4}]$. We also show that a smooth manifold $M$ admits a totally real immersion in $\cc^n$ with a trivial complex normal bundle if and only if the complexified tangent bundle of $M$ is trivial. The latter is proved by applying Gromov's weak homotopy equivalence principle for totally real immersions to Hirsch's transversal fields theory. | |
| dc.identifier | https://arxiv.org/abs/math/9604203 | |
| dc.identifier | http://arxiv.org/abs/math/9604203 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/153030 | |
| dc.subject | Complex Variables | |
| dc.subject | 32 | |
| dc.title | On totally real spheres in complex space | |
| dc.type | text |