|
The natural metric on ${\text{SO}}\left( n \right)/{\text{SO}}\left( {n - 2} \right)$ is the most symmetric metric
Author(s):
Wu-yi
Hsiang
Journal:
Bull. Amer. Math. Soc.
73
(1967),
55-58.
MathSciNet review:
0210044
Retrieve article in:
PDF
References |
Additional information
References:
- 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. 40 (1939), 400. MR 1503467
Additional Information:
DOI:
10.1090/S0002-9904-1967-11638-0
PII:
S 0002-9904(1967)11638-0
|
