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arXiv · 1505.07299

The Chern-Ricci flow on Oeljeklaus-Toma manifolds

Tao Zheng
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Abstract

We study the Chern-Ricci flow, an evolution equation of Hermitian metrics, on a family of Oeljeklaus-Toma (OT-) manifolds which are non-K\"{a}hler compact complex manifolds with negative Kodaira dimension. We prove that, after an initial conformal change, the flow converges, in the Gromov-Hausdorff sense, to a torus with a flat Riemannian metric determined by the OT-manifolds themselves.

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Tao Zheng. 2015-05-27. The Chern-Ricci flow on Oeljeklaus-Toma manifolds. https://doi.org/10.4153/cjm-2015-053-0

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