Ricci Flow Singularity for Triaxial Bianchi IX Metric
Differential Geometry
2019-11-25 v1 Analysis of PDEs
Abstract
In this work, we are going to find sufficient conditions on the initial triaxial Bianchi IX metric on some 4-dimensional manifolds foliated by homogeneous S3 for a Type I singularity to occur when it is flowed under the Ricci flow. This work generalises the study on rotationally symmetric manifolds done by Angenent and Isenberg as well as the work of Isenberg, Knopf, and Sesum, in which they introduced some ansatz for the problem setup.
Keywords
Cite
@article{arxiv.1911.09797,
title = {Ricci Flow Singularity for Triaxial Bianchi IX Metric},
author = {M. Syafiq Johar},
journal= {arXiv preprint arXiv:1911.09797},
year = {2019}
}
Comments
26 pages, 6 figures