Convexity of the weighted Mabuchi functional and the uniqueness of weighted extremal metrics

DOI10.4310/MRL.2023.V30.N2.A8zbMath1526.53068arXiv2007.01345OpenAlexW3039413098MaRDI QIDQ6073299

Abdellah Lahdili

Publication date: 15 September 2023

Published in: Mathematical Research Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.01345

zbMATH Keywords

Kähler classmomentum polytopeweighted extremal Kähler metricsweighted Futaki invariantweighted \(K\)-semistabilityweighted Mabuchi energy

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Kähler manifolds (32Q15) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

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