Space of K\"ahler metrics (V)-- K\"ahler quantization
Differential Geometry
2010-04-13 v2
Abstract
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.
Keywords
Cite
@article{arxiv.0902.4149,
title = {Space of K\"ahler metrics (V)-- K\"ahler quantization},
author = {Xiuxiong Chen and Song Sun},
journal= {arXiv preprint arXiv:0902.4149},
year = {2010}
}
Comments
25 pages. Corrected typos. Added section 5.