 Parabolic geometry (differential geometry)

Parabolic geometry is a branch of differential geometry that studies geometric structures that are modeled on a special class of homogeneous spaces known as parabolic geometries. These structures relate to the study of certain types of manifolds and their associated symmetries, particularly those that arise from a specific class of Lie groups and their actions. ### Key Features of Parabolic Geometry: 1. **Parabolic Structures**: Parabolic geometries are associated with parabolic subalgebras of Lie algebras.