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

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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 languageEnglish (US)
Pages (from-to)47-55
Number of pages9
JournalDifferential Geometry and its Applications
Volume1
Issue number1
DOIs
StatePublished - Jun 1991

All Science Journal Classification (ASJC) codes

  • Analysis
  • Geometry and Topology
  • Computational Theory and Mathematics

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