Dirac flow on the 3-sphere
- Авторлар: Malkovich E.1
-
Мекемелер:
- Sobolev Institute of Mathematics
- Шығарылым: Том 57, № 2 (2016)
- Беттер: 340-351
- Бөлім: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/170402
- DOI: https://doi.org/10.1134/S0037446616020166
- ID: 170402
Дәйексөз келтіру
Аннотация
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.
Негізгі сөздер
Авторлар туралы
E. Malkovich
Sobolev Institute of Mathematics
Хат алмасуға жауапты Автор.
Email: malkovich@math.nsc.ru
Ресей, Novosibirsk