arXiv subjects

M. Syafiq Johar

Publications and source records attributed to M. Syafiq Johar.

2 recordsLinked to original sources

arXiv2019

Ricci Flow Singularity for Triaxial Bianchi IX Metric

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.

math.DG↗

arXiv2015

Minimal Number of Steps in Euclidean Algorithm and its Application to Rational Tangles

We define the regular Euclidean algorithm and the general form which leads to the method of least absolute remainders and also the method of negative remainders. We are going to show that if looked from the perspective of subtraction, the method of least absolute remainders and the regular method have the same number of steps which is in fact the minimal number of steps possible. This enables us to apply the theory in rational tangles to determine the most efficient way to untangle a rational tangle.

math.GN↗