Ricci flow for homogeneous compact models of the universe

Autor:	Ozsváth, István, Schücking, Engelbert, Lin, Chaney
Rok vydání:	2010
Předmět:	Mathematical Physics Mathematics - Differential Geometry 53
Druh dokumentu:	Working Paper
DOI:	10.1007/s10714-011-1236-0
Popis:	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. Comment: 18 pages, 2 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1003.1516 Zobrazit plný text záznamu View this record from Arxiv