Prescribed Riemannian Symmetries

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2021
• 1. Verfasser: Chirvasitu, Alexandru
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2021
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/211319
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Prescribed Riemannian Symmetries. Alexandru Chirvasitu. SIGMA 17 (2021), 030, 17 pages

Given a smooth free action of a compact connected Lie group 𝐺 on a smooth compact manifold 𝑀, we show that the space of 𝐺-invariant Riemannian metrics on 𝑀 whose automorphism group is precisely 𝐺 is open and dense in the space of all 𝐺-invariant metrics, provided the dimension of 𝑀 is ''su...