English

The J-flow On Toric Manifolds

Differential Geometry 2014-07-07 v1

Abstract

We study the J-flow on the toric manifolds, through study the transition map between the moment maps induced by two K\"{a}hler 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.

Keywords

Cite

@article{arxiv.1407.1168,
  title  = {The J-flow On Toric Manifolds},
  author = {Yi Yao},
  journal= {arXiv preprint arXiv:1407.1168},
  year   = {2014}
}

Comments

17 pages, 2 figures

R2 v1 2026-06-22T04:55:13.730Z