Space of Kähler metrics (V)-- Kähler quantization

Details Space of Kähler metrics (V)-- Kähler quantization Space of Kähler metrics (V)-- Kähler quantization

2009-02-24

arxiv.org/abs/0902.4149v2

Mathematics

Differential Geometry

25 pages. Corrected typos. Added section 5.

Scientific paper

We prove the convergence of geodesic distance during the quantization of the
space of K\"ahler potentials. As applications, this provides alternative proofs
of certain inequalities about the K-energy functional in the projective case.

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