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Bulletin of the American Mathematical Society

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The natural metric on ${\text{SO}}\left( n \right)/{\text{SO}}\left( {n - 2} \right)$ is the most symmetric metric


Author: Wu-yi Hsiang
Journal: Bull. Amer. Math. Soc. 73 (1967), 55-58
DOI: https://doi.org/10.1090/S0002-9904-1967-11638-0
MathSciNet review: 0210044
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  • 1. L. P. Eisenhart, Riemannian geometry, Princeton Univ. Press, Princeton, N. J., 1949. MR 35081
  • 2. Wu-chung Hsiang and Wu-yi Hsiang, Classification of differentiable actions on S, Ann. of Math. 82 (1965), 421-433. MR 181695
  • 3. Wu-chung Hsiang and Wu-yi Hsiang, Differentiable actions of classical groups, Amer. J. Math, (to appear).
  • 4. Wu-chung Hsiang and Wu-yi Hsiang, Some results on differentiable actions, Bull. Amer. Math. Soc. 72 (1966), 134-138. MR 187248
  • 5. Wu-yi Hsiang, On the classification of differentiable SO(n) actions on simply connected π-manifolds, Amer. J. Math. 88 (1966), 137-153.
  • 6. Wu-yi Hsiang, On the bound of the dimension of the isometry groups of all possible Riemannian metrics on an exotic sphere, Ann. of Math, (to appear). MR 214084
  • 7. Wu-yi Hsiang and J. C. Su, On the classification of transitive effective actions on classical homogeneous spaces, (to appear).
  • 8. S. B. Myers and N. E. Steenrod, The group of isometries of a Riemannian manifold, Ann. of Math. (2) 40 (1939), no. 2, 400–416. MR 1503467, https://doi.org/10.2307/1968928


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DOI: https://doi.org/10.1090/S0002-9904-1967-11638-0

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