.png){kind=icon}
返回
Cotton flow
.png){kind=icon}
PRE
AI
DOI：10.1088/0264-9381/25/16/165019.png)
.png){kind=icon}
原文求助.png){kind=icon}
分享.png){kind=icon}
收藏
摘要
En 中文
Using the conformally-invariant Cotton tensor, we define a geometric flow, the Cotton flow, which is exclusive to three dimensions. This flow tends to evolve the initial metrics into conformally flat ones, and is somewhat orthogonal to the Yamabe flow, the latter being a flow within a conformal class. We define an entropy functional, and study the flow of nine homogeneous spaces both numerically and analytically. In particular, we show that the arbitrarily deformed homogeneous 3-sphere flows into the round 3-sphere. Two of the nine homogeneous geometries, which are degenerated by the Ricci flow, are left intact by the Cotton flow.
Keyword:
RICCI FLOW
MANIFOLDS
GEOMETRIES
METRICS
AI总结
对已上传原文的论文进行重点信息的提取，主要内容包括：简要概述、研究摘要、背景介绍、关键亮点、图文解析、展望与总结。
期刊
IF:
3.7
论文数:
1.3W
被引数:
3.0W
机构
引用论文
Establishment of a Standard Method for Boundary Slip Measurement on Smooth Surfaces Based on AFM
OAAI
OAAI分享收藏分享收藏Adsorption of dye from aqueous solution by cashew nut shell: Studies on equilibrium isotherm, kinetics and thermodynamics of interactions.png)
Desalination
DesalinationIF0
PREAI
分享收藏
查看更多内容