Geometric group action
= Geometric group action
{wiki=Geometric_group_action}
A geometric group action is a specific type of action by a group on a geometric space, which can often be thought of in terms of symmetries or transformations of that space. More formally, if we have a group \\( G \\) and a geometric object (often a topological space or manifold) \\( X \\), a geometric group action is defined when \\( G \\) acts on \\( X \\) in a way that respects the structure of \\( X \\).