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no. 5
Strict convexity of the Mabuchi functional for energy minimizers
Long Li1
1 Institute Fourier, 100 rue des maths 38610 Gières, Grenoble, France and Mathematics Institute, ShanghaiTech University, Pudong, Shanghai, 201210, China
Annales de la Faculté des sciences de Toulouse : Mathématiques, Serie 6, Volume 31 (2022) no. 5, pp. 1303-1321.

The aim of this paper is to investigate the strict convexity of the Mabuchi functional up to a holomorphic automorphism. We partially answered this question, and proved this strict convexity when a C 1,1 ¯ -geodesic connects two non-degenerate energy minimizers.

Le but de cet article est d’étudier la convexité stricte de la fonctionnelle de Mabuchi modulo automorphismes holomorphes. Nous avons partiellement répondu à cette question, et prouvé cette convexité stricte lorsqu’une C 1,1 ¯ -géodésique relie deux minimisateurs d’énergie non dégénérés.

Received:
Accepted:
Published online:
DOI: 10.5802/afst.1720

Long Li 1

1 Institute Fourier, 100 rue des maths 38610 Gières, Grenoble, France and Mathematics Institute, ShanghaiTech University, Pudong, Shanghai, 201210, China
License: CC-BY 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights 
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Long Li. Strict convexity of the Mabuchi functional for energy minimizers. Annales de la Faculté des sciences de Toulouse : Mathématiques, Serie 6, Volume 31 (2022) no. 5, pp. 1303-1321. doi : 10.5802/afst.1720. https://afst.centre-mersenne.org/articles/10.5802/afst.1720/

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