Ricci flow on locally homogeneous closed 4-manifolds

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We discuss the Ricci flow on homogeneous 4-manifolds. After classifying these manifolds, we note that there are families of initial metrics such that we can diagonalize them and the Ricci flow preserves the diagonalization. We analyze the long time behavior of these families. We find that if a solution exists for all time, then the flow exhibits a type III singularity in the sense of Hamilton.
32 pages

Keywords

Differential Geometry, 53C44

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/74127

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0502170
 http://arxiv.org/abs/math/0502170

Collections

arXiv