Newman’s theorem for compact Riemannian manifolds
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- by Mei Chin Ku PDF
- Proc. Amer. Math. Soc. 58 (1976), 343-346 Request permission
Abstract:
M. H. A. Newman has shown the following theorem: Let $M$ be a connected topological manifold with a given metric. Then there is an $\varepsilon > 0$ such that for every nontrivial action of a compact Lie group $G$ on $M$, there exists an orbit of diameter at least $\varepsilon$. We obtain the best possible estimate of $\varepsilon$ for the isometric actions of $G$ on compact connected Riemannian manifolds.References
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Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 58 (1976), 343-346
- MSC: Primary 57E15; Secondary 53C20
- DOI: https://doi.org/10.1090/S0002-9939-1976-0415645-9
- MathSciNet review: 0415645