The J-flow On Toric Manifolds
arXiv:1407.1168
Abstract
We study the J-flow on the toric manifolds, through study the transition map between the moment maps induced by two Kähler metrics, which is a diffeomorphism between polytopes. This is similar to the work of Fang-Lai, under the assumption of Calabi symmetry, they study the monotone map between two intervals. We get a partial bound of the derivatives of transition map.
17 pages, 2 figures