Inoue surfaces and the Chern-Ricci flow
Differential Geometry
2016-10-11 v1
Abstract
We investigate the Chern-Ricci flow, an evolution equation of Hermitian metrics, on Inoue surfaces. These are non-Kahler 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
Cite
@article{arxiv.1501.07578,
title = {Inoue surfaces and the Chern-Ricci flow},
author = {Shouwen Fang and Valentino Tosatti and Ben Weinkove and Tao Zheng},
journal= {arXiv preprint arXiv:1501.07578},
year = {2016}
}
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23 pages