Category
page 1Group actions
group action
operation of the elements of a group as transformations or automorphisms (mathematics)
fundamental domain
subset of a space acted upon by a group, which contains exactly one point from each of the orbits
principal bundle
fiber bundle whose fibers are group torsors (groups with the identity element forgotten)
quotient topological space
topological space consisting of equivalence classes of points in another topological space

orbifold
alt=Hyperbolic symmetry comparison to Euclidean symmetry|thumb|23star Orbifold Example
In the mathematical disciplines of topology and geometry, an orbifold (for "orbit-manifold") is a generalization of a manifold. Roughly speaking, an orbifold is a topological space that is locally a finite group quotient of a Euclidean space.
continuous symmetry
symmetry-based invariance to continuous group action
flow
mathematical formalization of the motion of particles in a fluid
group with operators
concept in mathematics regarding sets operating on groups
moment map
tool associated with a Hamiltonian action of a Lie group on a symplectic manifold, used to construct conserved quantities for the action, generalizing the classical notions of linear and angular momentum
equivariant map
Maps whose domain and codomain are acted on by the same group, and the function commutes
orbit
set of points linked through the evolution function of a dynamical system