Hyperbolic Kahler-Ricci Flow

Details Hyperbolic Kahler-Ricci Flow Hyperbolic Kahler-Ricci Flow

2009-12-26

arxiv.org/abs/0912.5019v1

Mathematics

Differential Geometry

19 pages

Scientific paper

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.

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