Stability of piecewise flat Ricci flow
Differential Geometry
2023-06-23 v1
Abstract
The stability of a recently developed piecewise flat Ricci flow is investigated, using a linear stability analysis and numerical simulations, and a class of piecewise flat approximations of smooth manifolds is adapted to avoid an inherent numerical instability. These adaptations have also been used in a related paper to show the convergence of the piecewise flat Ricci flow to known smooth Ricci flow solutions for a variety of manifolds.
Keywords
Cite
@article{arxiv.2306.12745,
title = {Stability of piecewise flat Ricci flow},
author = {Rory Conboye},
journal= {arXiv preprint arXiv:2306.12745},
year = {2023}
}