Abstract
Using Stiefel manifolds (real, complex, and symplectic) as examples, it is shown that (A) {subset of with not equal to} (B) ∩ (C) {subset of with not equal to} (C) in a differentiable sense, shere (A) denotes the class of all regular Riemannian k-symmetric spaces (k≧2), (B) the class of all pointwise Riemannian k-symmetric spaces (k≧2), and (C) the class of reduced Riemannian Σ-spaces.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 47-55 |
| Number of pages | 9 |
| Journal | Differential Geometry and its Applications |
| Volume | 1 |
| Issue number | 1 |
| DOIs | |
| State | Published - Jan 1 1991 |
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All Science Journal Classification (ASJC) codes
- Analysis
- Geometry and Topology
- Computational Theory and Mathematics
Cite this
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Stiefel manifolds and the existence of non-trivial generalizations of Riemannian symmetric spaces from a differentiable viewpoint. / Alfredo Jiménez, J.
In: Differential Geometry and its Applications, Vol. 1, No. 1, 01.01.1991, p. 47-55.Research output: Contribution to journal › Article
TY - JOUR
T1 - Stiefel manifolds and the existence of non-trivial generalizations of Riemannian symmetric spaces from a differentiable viewpoint
AU - Alfredo Jiménez, J.
PY - 1991/1/1
Y1 - 1991/1/1
N2 - Using Stiefel manifolds (real, complex, and symplectic) as examples, it is shown that (A) {subset of with not equal to} (B) ∩ (C) {subset of with not equal to} (C) in a differentiable sense, shere (A) denotes the class of all regular Riemannian k-symmetric spaces (k≧2), (B) the class of all pointwise Riemannian k-symmetric spaces (k≧2), and (C) the class of reduced Riemannian Σ-spaces.
AB - Using Stiefel manifolds (real, complex, and symplectic) as examples, it is shown that (A) {subset of with not equal to} (B) ∩ (C) {subset of with not equal to} (C) in a differentiable sense, shere (A) denotes the class of all regular Riemannian k-symmetric spaces (k≧2), (B) the class of all pointwise Riemannian k-symmetric spaces (k≧2), and (C) the class of reduced Riemannian Σ-spaces.
UR - http://www.scopus.com/inward/record.url?scp=23544456910&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=23544456910&partnerID=8YFLogxK
U2 - 10.1016/0926-2245(91)90021-Z
DO - 10.1016/0926-2245(91)90021-Z
M3 - Article
AN - SCOPUS:23544456910
VL - 1
SP - 47
EP - 55
JO - Differential Geometry and its Applications
JF - Differential Geometry and its Applications
SN - 0926-2245
IS - 1
ER -