Isometries in spaces of Kähler potentials
Volume 123 / 2019
Annales Polonici Mathematici 123 (2019), 423-458
MSC: 32Q15, 53C55.
DOI: 10.4064/ap180523-6-7
Published online: 10 October 2019
Abstract
The space of Kähler potentials in a compact Kähler manifold, endowed with Mabuchi’s metric, is an infinite dimensional Riemannian manifold. We characterize local isometries between spaces of Kähler potentials, and prove existence and uniqueness for such isometries.
