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:
“Along the iron veins that traverse the frame of our country, beat and flow the fiery pulses of its exertion, hotter and faster every hour. All vitality is concentrated through those throbbing arteries into the central cities; the country is passed over like a green sea by narrow bridges, and we are thrown back in continually closer crowds on the city gates.”
—John Ruskin (18191900)