Gromov Rigidity of Bi-Invariant Metrics on Lie Groups and Homogeneous Spaces

• Опубліковано в: Symmetry, Integrability and Geometry: Methods and Applications
• Дата: 2020
• ISSN: 1815-0659
• Автори: Sun, Yukai, Dai, Xianzhe
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Інститут математики НАН України 2020
• Онлайн доступ: https://nasplib.isofts.kiev.ua/handle/123456789/210780
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: Gromov Rigidity of Bi-Invariant Metrics on Lie Groups and Homogeneous Spaces. Yukai Sun and Xianzhe Dai. SIGMA 16 (2020), 068, 6 pages

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 are extremal (in fact, rigid) in the sense of Gromov when compared to the left-invariant metr...