https://neckpinch.com/authors/m-syafiq-johar/New arXiv papers by M. Syafiq Johar, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT https://neckpinch.com/papers/1911.09797/arxiv:1911.09797Fri, 22 Nov 2019 00:00:00 GMTM. Syafiq Johar — 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.Ricci flowSingularities4-manifoldsHomogeneous spacesRotational symmetry & warped products