Steady States for One Dimensional Conformal Metric Flows
Analysis of PDEs
2007-05-23 v2
Abstract
We define two conformal structures on which give rise to a different view of the affine curvature flow and a new curvature flow, the ``-curvature flow". The steady state of these flows are studied. More specifically, we prove four sharp inequalities, which state the existences of the corresponding extremal metrics.
Cite
@article{arxiv.math/0611254,
title = {Steady States for One Dimensional Conformal Metric Flows},
author = {Yilong Ni and Meijun Zhu},
journal= {arXiv preprint arXiv:math/0611254},
year = {2007}
}
Comments
22 pages, typos corrected