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

Access to Document

10.1016/j.jfa.2016.08.013

Cite this

Fang, S., Tosatti, V., Weinkove, B., & Zheng, T. (2016). Inoue surfaces and the Chern–Ricci flow. Journal of Functional Analysis, 271(11), 3162-3185. https://doi.org/10.1016/j.jfa.2016.08.013

@article{1b27bc0fd76a4687942c2ced46f48392,

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",

note = "Publisher Copyright: {\textcopyright} 2016 Elsevier Inc.",

year = "2016",

month = dec,

day = "1",

doi = "10.1016/j.jfa.2016.08.013",

language = "English",

volume = "271",

pages = "3162--3185",

journal = "Journal of Functional Analysis",

issn = "0022-1236",

publisher = "Academic Press Inc.",

number = "11",

}

TY - JOUR

T1 - Inoue surfaces and the Chern–Ricci flow

AU - Fang, Shouwen

AU - Tosatti, Valentino

AU - Weinkove, Ben

AU - Zheng, Tao

PY - 2016/12/1

Y1 - 2016/12/1

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

UR - http://www.scopus.com/inward/record.url?scp=84995633275&partnerID=8YFLogxK

U2 - 10.1016/j.jfa.2016.08.013

DO - 10.1016/j.jfa.2016.08.013

M3 - Article

AN - SCOPUS:84995633275

SN - 0022-1236

VL - 271

SP - 3162

EP - 3185

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 11

ER -

Inoue surfaces and the Chern–Ricci flow

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this