title: Symmetric space (disambiguation)
text: # Symmetric space (disambiguation)
  
  A symmetric space is, in differential geometry and representation theory, a smooth manifold whose group of symmetries contains an "inversion symmetry" about every point. Examples include:
  
  * Riemannian symmetric space
  * Hermitian symmetric space
  * Quaternion-Kähler symmetric space
  * Weakly symmetric space
  
  In topology, symmetric space may also refer to:
  
  In computational complexity theory, symmetric space may refer to undirected or reversible analogues of nondeterministic space complexity, for instance:
  
  