The paper uses the technique of finite-dimensional approximation to show that a constant scalr curvature Kahler metric (on a polarised algebraic variety without holomorphic vector fields) minimises the Mabuchi functional.
Anisotropic flow of convex hypersurfaces by the square root of the scalar curvature
The Kähler-Ricci flow, holomorphic vector fields and Fano bundles
Alpha invariants and coercivity of the Mabuchi functional on Fano manifolds
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