Stability of cigar soliton
Differential Geometry
2015-09-29 v4 Analysis of PDEs
Abstract
In this paper, we shall use the K\"ahler geometry formulation to study the global behavior of the Ricci flow on . The geometric feature of our Ricci flow is that it has finite width. Our aim is to determine the limiting metric (which corresponds an eternal Ricci flow) obtained by L.F.Wu. We can use the classification result of Daskalopoulos-Sesum to give a sufficient condition such that the limiting metric of L.F.Wu is the metric of cigar soliton.
Cite
@article{arxiv.1112.6073,
title = {Stability of cigar soliton},
author = {Li Ma and I. Witt},
journal= {arXiv preprint arXiv:1112.6073},
year = {2015}
}
Comments
a gap in L.F.Wu's result cited in our paper is filled in our case