Complex legendre duality
Artikel i vetenskaplig tidskrift, 2020

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.

Författare

Bo Berndtsson

Chalmers, Matematiska vetenskaper, Algebra och geometri

Göteborgs universitet

Dario Cordero-Erausquin

Université Pierre et Marie Curie (UPMC)

Bo’Az Klartag

Tel Aviv University

Weizmann Institute of Science

Yanir A. Rubinstein

University of Maryland

American Journal of Mathematics

0002-9327 (ISSN) 1080-6377 (eISSN)

Vol. 142 1 323-339

Ämneskategorier

Algebra och logik

Geometri

Matematisk analys

DOI

10.1353/ajm.2020.0008

Mer information

Senast uppdaterat

2020-04-14