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A new existence theorem for the generalized Riemannian symmetric spaces of solvable type

✍ Scribed by A. E. Tralle

Publisher
Springer
Year
1990
Tongue
English
Weight
495 KB
Volume
8
Category
Article
ISSN
0232-704X

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✦ Synopsis

We prove the existence of generalized symmetric Riemannian spaces of solvable type and of arbitrary order n > 3 (even or odd).

πŸ“œ SIMILAR VOLUMES

Stiefel manifolds and the existence of n
Stiefel manifolds and the existence of non-trivial generalizations of Riemannian symmetric spaces from a differentiable viewpoint
✍ J. Alfredo JimΓ©nez πŸ“‚ Article πŸ“… 1991 πŸ› Elsevier Science 🌐 English βš– 653 KB

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