The modified K\"ahler-Ricci flow and solitons
Differential Geometry
2018-12-20 v1
Abstract
We investigate the K\"ahler-Ricci flow modified by a holomorphic vector field. We find equivalent analytic criteria for the convergence of the flow to a K\"ahler-Ricci soliton. In addition, we relate the asymptotic behavior of the scalar curvature along the flow to the lower boundedness of the modified Mabuchi energy.
Keywords
Cite
@article{arxiv.0809.0941,
title = {The modified K\"ahler-Ricci flow and solitons},
author = {D. H. Phong and Jian Song and Jacob Sturm and Ben Weinkove},
journal= {arXiv preprint arXiv:0809.0941},
year = {2018}
}
Comments
33 pages