Dirac flow on the 3-sphere
- Autores: Malkovich E.1
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Afiliações:
- Sobolev Institute of Mathematics
- Edição: Volume 57, Nº 2 (2016)
- Páginas: 340-351
- Seção: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/170402
- DOI: https://doi.org/10.1134/S0037446616020166
- ID: 170402
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Resumo
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.
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Sobre autores
E. Malkovich
Sobolev Institute of Mathematics
Autor responsável pela correspondência
Email: malkovich@math.nsc.ru
Rússia, Novosibirsk
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