In mathematics, the vector flow refers to a set of closely related concepts of the flow determined by a vector field. These appear in a number of different contexts, including differential topology, Riemannian geometry and Lie group theory. These related concepts are explored in a spectrum of articles:
- exponential map
- matrix exponential
- exponential function
- infinitesimal generator (→ Lie group)
- integral curve (→ vector field)
- one-parameter subgroup
- flow (geometry)
- geodesic flow
- Hamiltonian flow
- Ricci flow
- Anosov flow
- injectivity radius (→ glossary)
Read more about Vector Flow: Vector Flow in Differential Topology, Vector Flow in Riemannian Geometry, Vector Flow in Lie Group Theory
Famous quotes containing the word flow:
“No care, no stop; so senseless of expense
That he will neither know how to maintain it
Nor cease his flow of riot, takes no account
How things go from him, nor resumes no care
Of what is to continue.”
—William Shakespeare (1564–1616)