# Symmetric space (disambiguation)

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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:

- R
_{0}space, a topological space in which two topologically distinguishable points can be separated

In computational complexity theory, **symmetric space** may refer to undirected or reversible analogues of nondeterministic space complexity, for instance:

- SL (complexity), the class of problems solvable in logarithmic symmetric space