The chern-ricci flow on oeljeklaus-Toma manifolds

Tao Zheng

doi:10.4153/CJM-2015-053-0

The chern-ricci flow on oeljeklaus-Toma manifolds

Tao Zheng^*

^*此作品的通讯作者

数学学院

科研成果: 期刊稿件 › 文章 › 同行评审

13 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	220-240
页数	21
期刊	Canadian Journal of Mathematics
卷	69
期	1
DOI	https://doi.org/10.4153/CJM-2015-053-0
出版状态	已出版 - 2月 2017

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Zheng, T. (2017). The chern-ricci flow on oeljeklaus-Toma manifolds. Canadian Journal of Mathematics, 69(1), 220-240. https://doi.org/10.4153/CJM-2015-053-0

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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 that 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-Hausdor{\`o} sense to a torus with a flat Riemannianmetric determined by the OT-manifolds themselves.",

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AB - 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.

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The chern-ricci flow on oeljeklaus-Toma manifolds

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