Isometries in spaces of Kähler potentials

Published 20 Feb 2017 in math.CV and math.DG | (1702.05937v3)

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.

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László Lempert

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