Inoue surfaces and the Chern–Ricci flow

Shouwen Fang; Valentino Tosatti; Ben Weinkove; Tao Zheng

doi:10.1016/j.jfa.2016.08.013

Inoue surfaces and the Chern–Ricci flow

Shouwen Fang, Valentino Tosatti, Ben Weinkove^*, Tao Zheng

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

21 Citations (Scopus)

Abstract

We investigate the Chern–Ricci flow, an evolution equation of Hermitian metrics, on Inoue surfaces. These are non-Kähler compact complex surfaces of type Class VII. We show that, after an initial conformal change, the flow always collapses the Inoue surface to a circle at infinite time, in the sense of Gromov–Hausdorff.

Original language	English
Pages (from-to)	3162-3185
Number of pages	24
Journal	Journal of Functional Analysis
Volume	271
Issue number	11
DOIs	https://doi.org/10.1016/j.jfa.2016.08.013
Publication status	Published - 1 Dec 2016
Externally published	Yes

Keywords

Chern–Ricci flow
Class VII surfaces
Inoue surfaces

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10.1016/j.jfa.2016.08.013

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title = "Inoue surfaces and the Chern–Ricci flow",

abstract = "We investigate the Chern–Ricci flow, an evolution equation of Hermitian metrics, on Inoue surfaces. These are non-K{\"a}hler compact complex surfaces of type Class VII. We show that, after an initial conformal change, the flow always collapses the Inoue surface to a circle at infinite time, in the sense of Gromov–Hausdorff.",

keywords = "Chern–Ricci flow, Class VII surfaces, Inoue surfaces",

author = "Shouwen Fang and Valentino Tosatti and Ben Weinkove and Tao Zheng",

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AU - Tosatti, Valentino

AU - Weinkove, Ben

AU - Zheng, Tao

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N2 - We investigate the Chern–Ricci flow, an evolution equation of Hermitian metrics, on Inoue surfaces. These are non-Kähler compact complex surfaces of type Class VII. We show that, after an initial conformal change, the flow always collapses the Inoue surface to a circle at infinite time, in the sense of Gromov–Hausdorff.

AB - We investigate the Chern–Ricci flow, an evolution equation of Hermitian metrics, on Inoue surfaces. These are non-Kähler compact complex surfaces of type Class VII. We show that, after an initial conformal change, the flow always collapses the Inoue surface to a circle at infinite time, in the sense of Gromov–Hausdorff.

KW - Chern–Ricci flow

KW - Class VII surfaces

KW - Inoue surfaces

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DO - 10.1016/j.jfa.2016.08.013

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JO - Journal of Functional Analysis

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Inoue surfaces and the Chern–Ricci flow

Abstract

Keywords

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