A \((G, X)\)-manifold is a mathematical structure that arises in the context of differential geometry and group theory. In particular, it generalizes the notion of manifolds by introducing a group action on a manifold in a structured way. Here’s a breakdown of the components: 1. **Manifold \(X\)**: This is a topological space that locally resembles Euclidean space and allows for the definition of concepts such as continuity, differentiability, and integration.
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