Flow (mathematics)

In mathematics, flow refers to the group action of a one-parameter group on a set. Flows typically arise as the solutions of ordinary differential equations. The idea of a vector flow, that is, the flow determined by a vector field, occurs in the areas of differential topology, Riemannian geometry and Lie groups. Specific examples of vector flows include the geodesic flow, the Hamiltonian flow, the Ricci flow, and the Anosov flow.

Related Topics:
Mathematics - Group action - One-parameter group - Ordinary differential equation - Vector flow - Vector field - Differential topology - Riemannian geometry - Lie group - Geodesic flow - Hamiltonian flow - Ricci flow - Anosov flow

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