The Chern–Ricci flow

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 09 Jun 2022Embargo end date: 01 Jan 2021Publisher:European Mathematical Society - EMS - Publishing House GmbHJournal:Rendiconti Lincei, Matematica e Applicazioni, volume 33, pages 73-107 (issn: 1120-6330, eissn: 1720-0768,

Copyright policy )Funded by:NSF | Geometric Partial Differe..., NSF | Nonlinear Partial Differe...

Authors: Valentino Tosatti; Ben Weinkove;

doi: 10.4171/rlm/965 , 10.48550/arxiv.2107.12928

arXiv: 2107.12928

The Chern–Ricci flow

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Abstract

We give a survey on the Chern–Ricci flow, a parabolic flow of Hermitian metrics on complex manifolds. We emphasize open problems and new directions.

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Keywords

Complex Monge-Ampère operators, Mathematics - Differential Geometry, Flows related to complex manifolds (e.g., Kähler-Ricci flows, Chern-Ricci flows), Mathematics - Complex Variables, Hermitian metrics, Global differential geometry of Hermitian and Kählerian manifolds, Chern-Ricci flow, 53E30, 53C55, 32W20, 32J15, Differential Geometry (math.DG), FOS: Mathematics, geometric evolution equations, Complex Variables (math.CV)

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