Isometries in spaces of K\"ahler potentials
Complex Variables
2019-08-16 v3 Differential Geometry
Abstract
The space of K\"ahler potentials in a compact K\"ahler manifold, endowed with Mabuchi's metric, is an infinite dimensional Riemannian manifold. We characterize local isometries between spaces of K\"ahler potentials, and prove existence and uniqueness for such isometries.
Keywords
Cite
@article{arxiv.1702.05937,
title = {Isometries in spaces of K\"ahler potentials},
author = {László Lempert},
journal= {arXiv preprint arXiv:1702.05937},
year = {2019}
}
Comments
Typos corrected; to appear in Ann. Polon. Math