On Multiplier Hermitian Structures on Compact Kahler Manifolds

2007/04/20 by Qi Li, Li, Qi
Mathematics · #Algebraic Geometry and Number Theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.0704.2646

openalex publication_date 2007/04/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Mabuchi introduced multiplier Hermitian structures on compact Kahler manifolds and defined metrics similar to Kahler-Einstein metrics under these structures. In this note we generalize the inequality of Moser-Trudinger type on Kahler-Einstein manifolds to this case.

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