TY - JOUR
T1 - Stiefel manifolds and the existence of non-trivial generalizations of Riemannian symmetric spaces from a differentiable viewpoint
AU - Alfredo Jiménez, J.
N1 - Funding Information:
The author wishes to thank Professor 0. Kowalski for his many valuable comments to improve the presentation of this paper and for his suggestion to study the subjects of pointwise and C-spaces. This research was partially supported by a Faculty Minority Grant and an RDG from The Pennsylvania State University.
Copyright:
Copyright 2014 Elsevier B.V., All rights reserved.
PY - 1991/6
Y1 - 1991/6
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.
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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 -