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Estimates of Kähler-Einstein metrics on pseudoconvex domains of finite type with locally diagonalizable Levi form

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Abstract In this short note, we use the weights introduced by Ph. Charpentier and Y. Dupain on pseudoconvex domains of finite type with locally diagonalizable Levi form to prove that… Click to show full abstract

Abstract In this short note, we use the weights introduced by Ph. Charpentier and Y. Dupain on pseudoconvex domains of finite type with locally diagonalizable Levi form to prove that on these domains, the Kahler-Einstein metrics are comparable with the Caratheodory, Kobayashi and Bergman metrics.

Keywords: domains finite; pseudoconvex domains; locally diagonalizable; type locally; finite type; diagonalizable levi

Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2021

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