Gromov Rigidity of Bi-Invariant Metrics on Lie Groups and Homogeneous Spaces
Gromov asked if the bi-invariant metrics on a compact Lie group are extremal compared to any other metrics. In this note, we prove that the bi-invariant metrics on a compact connected semi-simple Lie group 𝐺 are extremal (in fact, rigid) in the sense of Gromov when compared to the left-invariant met...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2020 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут математики НАН України
2020
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/210780 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Gromov Rigidity of Bi-Invariant Metrics on Lie Groups and Homogeneous Spaces. Yukai Sun and Xianzhe Dai. SIGMA 16 (2020), 068, 6 pages |