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Symmetric Space is a smooth manifold whose group of symmetries contains inversion symmetry about every point. There are two ways to formulate the inversion symmetry: via Riemannian geometry or via Lie theory.

Related Journals for Symmetric Space 
International Journal of Computational Geometry and Applications, Advances in Geometry,Journal of Geometric Mechanics Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), Topology and its Applications, Journal of Nonlinear and Convex Analysis