Ricci flow for homogeneous compact models of the universe
Mathematical Physics
2015-05-18 v2 Differential Geometry
math.MP
Abstract
Using quaternions, we give a concise derivation of the Ricci tensor for homogeneous spaces with topology of the 3-dimensional sphere. We derive explicit and numerical solutions for the Ricci flow PDE and discuss their properties. In the collapse (or expansion) of these models, the interplay of the various components of the Ricci tensor are studied. We dedicate this paper to honor the work of Josh Goldberg.
Cite
@article{arxiv.1003.1516,
title = {Ricci flow for homogeneous compact models of the universe},
author = {István Ozsváth and Engelbert Schücking and Chaney Lin},
journal= {arXiv preprint arXiv:1003.1516},
year = {2015}
}
Comments
18 pages, 2 figures