Stiefel manifolds and the existence of non-trivial generalizations of Riemannian symmetric spaces from a differentiable viewpoint

J. Alfredo Jiménez

doi:10.1016/0926-2245(91)90021-Z

Stiefel manifolds and the existence of non-trivial generalizations of Riemannian symmetric spaces from a differentiable viewpoint

J. Alfredo Jiménez

Penn State Hazleton

Research output: Contribution to journal › Article

2 Scopus citations

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	https://doi.org/10.1016/0926-2245(91)90021-Z
State	Published - Jun 1991

All Science Journal Classification (ASJC) codes

Analysis
Geometry and Topology
Computational Theory and Mathematics

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Alfredo Jiménez, J. (1991). Stiefel manifolds and the existence of non-trivial generalizations of Riemannian symmetric spaces from a differentiable viewpoint. Differential Geometry and its Applications, 1(1), 47-55. https://doi.org/10.1016/0926-2245(91)90021-Z

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