Global existence and convergence for a higher order flow in conformal geometry
Differential Geometry
2007-05-23 v1
Abstract
We study a higher-order parabolic equation which generalizes the Ricci flow on two-dimensional surfaces. The metric is deformed conformally with a speed given by the Q-curvature of the metric. Under a condition on the Q-curvature of the initial metric we show that the soluton exists for all time and converges to a metric of prescribed Q-curvature.
Keywords
Cite
@article{arxiv.math/0404415,
title = {Global existence and convergence for a higher order flow in conformal geometry},
author = {Simon Brendle},
journal= {arXiv preprint arXiv:math/0404415},
year = {2007}
}
Comments
21 pages, published version