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 1 323-339Ämneskategorier
Algebra och logik
Geometri
Matematisk analys
DOI
10.1353/ajm.2020.0008