The natural metric on ${\text {SO}}\left ( n \right )/{\text {SO}}\left ( {n - 2} \right )$ is the most symmetric metric
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- Bull. Amer. Math. Soc. 73 (1967), 55-58
References
- Luther Pfahler Eisenhart, Riemannian Geometry, Princeton University Press, Princeton, N. J., 1949. 2d printing. MR 0035081
- Wu-chung Hsiang and Wu-yi Hsiang, Classification of differentiable actions of $S^{n}$, $R^{n}$, and $D^{n}$ with $S^{k}$ as the principal orbit type, Ann. of Math. (2) 82 (1965), 421–433. MR 181695, DOI 10.2307/1970705 3. Wu-chung Hsiang and Wu-yi Hsiang, Differentiable actions of classical groups, Amer. J. Math, (to appear).
- Wu-chung Hsiang and Wu-yi Hsiang, Some results on differentiable actions, Bull. Amer. Math. Soc. 72 (1966), 134–138. MR 187248, DOI 10.1090/S0002-9904-1966-11453-2 5. Wu-yi Hsiang, On the classification of differentiable SO(n) actions on simply connected π-manifolds, Amer. J. Math. 88 (1966), 137-153.
- Wu-yi Hsiang, On the bound of the dimensions of the isometry groups of all possible riemannian metrics on an exotic sphere, Ann. of Math. (2) 85 (1967), 351–358. MR 214084, DOI 10.2307/1970446 7. Wu-yi Hsiang and J. C. Su, On the classification of transitive effective actions on classical homogeneous spaces, (to appear).
- 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, DOI 10.2307/1968928
Additional Information
- Journal: Bull. Amer. Math. Soc. 73 (1967), 55-58
- DOI: https://doi.org/10.1090/S0002-9904-1967-11638-0
- MathSciNet review: 0210044