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COMPLEX LEGENDRE DUALITY

Journal article
Authors Bo Berndtsson
D. Cordero-Erausquin
B. Klartag
Y. A. Rubinstein
Published in American Journal of Mathematics
Volume 142
Issue 1
Pages 323-339
ISSN 0002-9327
Publication year 2020
Published at Department of Mathematical Sciences
Pages 323-339
Language en
Links https://doi.org/10.1353/ajm.2020.00...
Keywords dirichlet problem, Mathematics
Subject categories Mathematics

Abstract

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

Page Manager: Webmaster|Last update: 9/11/2012
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