Complex Legendre duality - Sorbonne Université
Journal Articles American Journal of Mathematics Year : 2020

Complex Legendre duality

Abstract

We introduce complex generalizations of the classical Legendre transform, operating on Kähler metrics on a compact complex manifold. These Legendre transforms give explicit local isometric symmetries for the Mabuchi metric on the space of Kähler metrics around any real analytic Kähler metric, answering a question originating in Semmes' work.
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Dates and versions

hal-02468901 , version 1 (06-02-2020)

Identifiers

Cite

Bo O Berndtsson, Dario Cordero-Erausquin, Bo'Az Klartag, Yanir Rubinstein. Complex Legendre duality. American Journal of Mathematics, 2020, 142 (1), pp.323-339. ⟨10.1353/ajm.2020.0008⟩. ⟨hal-02468901⟩
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