Homogeneity refers to the property of a space or structure being uniform or consistent throughout. In the context of curvature tensors, it signifies that the geometric and curvature properties are the same at every point, reflecting a form of symmetry across the manifold. This idea is crucial when analyzing how curvature behaves under transformations and helps in understanding the global properties of geometric structures.
congrats on reading the definition of Homogeneity. now let's actually learn it.