A compact symmetric space is a type of geometric structure that is both compact and symmetric, often arising from a homogeneous space associated with a compact Lie group. These spaces have a rich geometric and topological structure, allowing for the study of Riemannian geometry and global analysis. Compact symmetric spaces can be characterized by their high degree of symmetry, often leading to interesting properties such as being geodesically complete and having well-defined curvature characteristics.
congrats on reading the definition of Compact Symmetric Space. now let's actually learn it.