✦ LIBER ✦
Stiefel manifolds and the existence of non-trivial generalizations of Riemannian symmetric spaces from a differentiable viewpoint
✍ Scribed by J. Alfredo Jiménez
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 653 KB
- Volume
- 1
- Category
- Article
- ISSN
- 0926-2245
No coin nor oath required. For personal study only.
✦ Synopsis
Using Stiefel manifolds (real, complex, and symplectic) as examples, it is shown that (A) 5 (B) n (C) $ (C) in a differentiable sense, where (A) denotes the class of all regular Riemannian &symmetric spaces (k 2 2), (B) th e c ass of all pointwise Riemannian k-symmetric 1 spaces (L 2 2), and (C) the class of reduced Riemannian C-spaces. lieytuords: Riemannian symmetric spaces, Lie group automorphism, transitive, effective group actions.