Flats in the space of Kähler metrics and Okounkov bodies
arXiv:2110.00251
Abstract
We study sufficient conditions for the existence of flat subspaces in the space of continuous plurisubharmonic metrics on a polarised complex projective manifold, relying on the generalised Legendre transform to the Okounkov body defined by Witt Nystrom, and a result of Schwer--Lytchak.
A mistake was found that couldn't be fixed