### 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) |
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Pages (from-to) | 47-55 |

Number of pages | 9 |

Journal | Differential Geometry and its Applications |

Volume | 1 |

Issue number | 1 |

DOIs | |

State | Published - Jun 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.

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 - 1991/6

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.

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 -