Dirac flow on the 3-sphere
- 作者: Malkovich E.1
-
隶属关系:
- Sobolev Institute of Mathematics
- 期: 卷 57, 编号 2 (2016)
- 页面: 340-351
- 栏目: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/170402
- DOI: https://doi.org/10.1134/S0037446616020166
- ID: 170402
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详细
We illustrate some well-known facts about the evolution of the 3-sphere (S3, g) generated by the Ricci flow. We define the Dirac flow and study the properties of the metric \(\bar g = dt^2 + g(t)\), where g(t) is a solution of the Dirac flow. In the case of a metric g conformally equivalent to the round metric on S3 the metric \(\bar g\) is of constant curvature. We study the properties of solutions in the case when g depends on two functional parameters. The flow on differential 1-forms whose solution generates the Eguchi–Hanson metric was written down. In particular cases we study the singularities developed by these flows.
作者简介
E. Malkovich
Sobolev Institute of Mathematics
编辑信件的主要联系方式.
Email: malkovich@math.nsc.ru
俄罗斯联邦, Novosibirsk
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