Long time existence of the (n-1)-plurisubharmonic flow

2014/10/25 by Matthew Gill, Gill, Matthew
Mathematics · #53C44 #53C55 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Holomorphic and Operator Theory #math.AP #math.DG #msc:53C44 #msc:53C55

paper · pdf · doi:10.48550/arxiv.1410.6958

arxiv created 2014/10/25 · openalex publication_date 2014/10/25 · arxiv updated 2014/10/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider the (n-1)-plurisubharmonic flow, suggested by Tosatti-Weinkove, and prove a formula for its maximal time of existence. This includes estimates that will be useful in further investigating the flow.

Citations

• Aeppli Cohomology Classes Associated with Gauduchon Metrics on Compact Complex Manifolds
• The Chern-Ricci flow on smooth minimal models of general type
• Form-type Calabi-Yau equations on Kähler manifolds of nonnegative orthogonal bisectional curvature

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