TY - JOUR
T1 - Complex Legendre duality
AU - Berndtsson, Bo
AU - Cordero-Erausquin, Dario
AU - Klartag, Bo'az
AU - Rubinstein, Yanir A.
N1 - Publisher Copyright: © 2020 by Johns Hopkins University Press.
PY - 2020/2
Y1 - 2020/2
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85078663306&partnerID=8YFLogxK
U2 - 10.1353/ajm.2020.0008
DO - 10.1353/ajm.2020.0008
M3 - مقالة
SN - 0002-9327
VL - 142
SP - 323
EP - 339
JO - American Journal of Mathematics
JF - American Journal of Mathematics
IS - 1
ER -