  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.
