Mabuchi and Aubin-Yau functionals over complex three-folds

2010/03/27 by Yi Li, Li, Yi
Mathematics · #Algebraic Geometry and Number Theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #math.DG

paper · pdf · doi:10.48550/arxiv.1003.5307

24 pages

arxiv created 2010/03/27 · openalex publication_date 2010/03/27 · arxiv updated 2010/03/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

In this paper we construct Mabuchi L^{\rm M}_ω functional and Aubin-Yau functionals I^{\rm AY}_ω, J^{\rm AY}_ω on any compact complex three-folds. The method presented here will be used in the forthcoming paper \citeL1 on the construction of those functionals on any compact complex manifolds, which generalizes the previous work \citeL.

Citations

• Mabuchi and Aubin-Yau functionals over complex surfaces

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