A note on K$\ddot{a}$hler manifolds with almost nonnegative bisectional curvature
| dc.creator | Huang, Hong | |
| dc.date | 2008-07-15 | |
| dc.date | 2008-11-10 | |
| dc.date.accessioned | 2026-07-07T10:16:44Z | |
| dc.date.available | 2026-07-07T10:16:44Z | |
| dc.description | In this note we prove the following result: There is a positive constant $ε(n,Λ)$ such that if $M^n$ is a simply connected compact K$\ddot{a}$hler manifold with sectional curvature bounded from above by $Λ$, diameter bounded from above by 1, and with holomorphic bisectional curvature $H \geq -ε(n,Λ)$, then $M^n$ is diffeomorphic to the product $M_1\times ... \times M_k$, where each $M_i$ is either a complex projective space or an irreducible K$\ddot{a}$hler-Hermitian symmetric space of rank $\geq 2$. This resolves a conjecture of F. Fang under the additional upper bound restrictions on sectional curvature and diameter. | |
| dc.description | 3 pages, some corrections | |
| dc.identifier | https://arxiv.org/abs/0807.2310 | |
| dc.identifier | http://arxiv.org/abs/0807.2310 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/173613 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C44 | |
| dc.title | A note on K$\ddot{a}$hler manifolds with almost nonnegative bisectional curvature | |
| dc.type | text |