Hyperbolic Kahler-Ricci Flow
Differential Geometry
2009-12-31 v1
Abstract
In this paper, the author has considered the hyperbolic Kahler-Ricci flow introduced by Kong and Liu [11], that is, the hyperbolic version of the famous Kahler-Ricci flow. The author has explained the derivation of the equation and calculated the evolutions of various quantities associated to the equation including the curvatures. Particularly on Calabi-Yau manifolds, the equation can be simplified to a scalar hyperbolic Monge-Ampere equation which is just the hyperbolic version of the corresponding one in Kahler-Ricci flow.
Keywords
Cite
@article{arxiv.0912.5019,
title = {Hyperbolic Kahler-Ricci Flow},
author = {Xu Chao},
journal= {arXiv preprint arXiv:0912.5019},
year = {2009}
}
Comments
19 pages