On complex Legendre duality
Complex Variables
2017-03-07 v1
Abstract
Complex Legendre duality is a generalization of Legendre transformation from Euclidean spaces to Kahler manifolds, that Berndtsson and collaborators have recently constructed. It is a local isometry of the space of Kahler potentials. We show that the fixed point of such a transformation must correspond to a real analytic Kahler metric.
Keywords
Cite
@article{arxiv.1703.01811,
title = {On complex Legendre duality},
author = {Laszlo Lempert},
journal= {arXiv preprint arXiv:1703.01811},
year = {2017}
}