Lie Groups §

Group: 4 #group-4

Relations §

• Riemannian Geometry: Lie Groups play an important role in Riemannian Geometry, as they provide a way to study symmetries of manifolds.
• Differential Geometry: Lie groups are groups that are also differentiable manifolds, and their study is closely related to differential geometry.
• Smooth Space: Lie groups are smooth manifolds with a group structure.
• Fiber Bundles: Lie groups and their associated Lie algebras play a fundamental role in the study of principal bundles and gauge theories.