Research profile

Xiaolan Nie

Works on generalized & G₂ flows, weak & singular flows and Ricci flow.

NP-RC-0191420000-0003-3679-7931

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Their work in this field since 2016, with the older papers the site recommends. Titles open each paper's page, with its abstract, PDF and HTML versions; Connections shows the papers closest to it. The arXiv listing has the complete record.

2017

math.DGarXiv:1701.04965

Weak Solutions of the Chern-Ricci flow on compact complex surfaces

Xiaolan Nie

In this note, we prove the existence of weak solutions of the Chern-Ricci flow through blow downs of exceptional curves, as well as backwards smooth convergence away from the exceptional curves on compact complex surfaces. The smoothing property for the Chern-Ricci flow is also obtained on compact Hermitian manifolds of dimension n under a mild assumption.

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