Abstract
We study the Chern-Ricci flow, an evolution equation of Hermitian metrics, on a family of Oeljeklaus-Toma (OT-) manifolds that are non-Kähler compact complex manifolds with negative Kodaira dimension. We prove that after an initial conformal change, the flow converges in the Gromov-Hausdorò sense to a torus with a flat Riemannianmetric determined by the OT-manifolds themselves.
| Original language | English |
|---|---|
| Pages (from-to) | 220-240 |
| Number of pages | 21 |
| Journal | Canadian Journal of Mathematics |
| Volume | 69 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - Feb 2017 |
Keywords
- Calabi-Type estimate
- Chern-ricci flow
- Gromov- hausdorò convergence
- Oeljeklaus-Toma manifold