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Isometries in spaces of Kähler potentials

Volume 123 / 2019

László Lempert Annales Polonici Mathematici 123 (2019), 423-458 MSC: 32Q15, 53C55. DOI: 10.4064/ap180523-6-7 Published online: 10 October 2019


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.


  • László LempertDepartment of Mathematics
    Purdue University
    West Lafayette, IN 47907-2067, U.S.A.

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